193,382 research outputs found
Diameter Bounds on the Complex of Minimal Genus Seifert Surfaces for Hyperbolic Knot
No full textGiven a link L in the 3-sphere, one can build simplicial complexes MS(L) and IS(L), called the Kakimizu complexes. These complexes have isotopy classes of minimal genus and incompressible Seifert surfaces for L as their vertex sets and have simplicial structures defined via a disjointness property. The Kakimizu complexes enjoy many topological properties and are conjectured to be contractible. Following the work of Gabai on sutured manifolds and Murasugi sums, MS(L) and IS(L) have been classified for various classes of links. This thesis focuses on hyperbolic knots; using minimal surface representatives and Kakimizu's formulation of the path-metric on MS(K), we are able to bound the diameter of this complex in terms of only the genus of the knot. The techniques of this paper are also generalized to one-cusped manifolds with a preferred relative homology class
Cardiocondyla opistopsis Seifert 2003
No full text<i>Cardiocondyla opistopsis</i> Seifert 2003 [type investigation] <p>This taxon has been described from Kuwait. Investigated were the holotype worker and one paratype worker labelled “ KUWAIT: Burgan, 1988 W.Büttiker ” and 3 worker paratypes labelled “ KUWAIT: 1985”, all in SMN Görlitz.</p> <p> <b>All material examined</b>. Numeric phenotypical data were available for two samples with four workers. For details see supplementary information SI1, SI2. This material originated from Kuwait (2 samples).</p> <p> <b>Geographic range</b>. The species is only known from the type locality.</p> <p> <b>Diagnosis</b>: --Worker (Tab. 3, Figs. 62–65, key). Rather large, CS 553 µm. Head moderately elongated, CL/CW 1.171. Postocular index lower than in any species considered here, PoOc/CL 0.316. Hind margin of vertex rather straight or weakly concave. Scape rather long, SL/CS 0.825. Eye very large, EYE/CS 0.280. Median third of hind margin of head slightly concave. Frons moderately broad (FRS/CS 0.241), frontal carinae strongly converging immediately caudal of FRS level (FL/FR 1.122); dorsal extension of scape joint capsule in dorsal aspect strongly surpassing the frontal carinae laterad. Dorsal profile of promesonotum and of propodeum convex with a rather shallow metanotal depression (MGr/CS 2.15 %). Spines very short and blunt, triangular (SP/CS 0.073), their assumed axis in profile deviating by about 50° from longitudinal axis of mesosoma, their bases more approached (SPBA/CS 0.234). Petiole very low, lower than wide (PeW/CS 0.283, PeH/CS 0.271); in profile with a more distinct peduncle and a semicircular node with the anterior slope appearing less steep than the caudal slope; node in dorsal aspect as wide as long and almost circular. Postpetiole narrower than in any related species and but not very low (PpW/CS 0.463, PpH/CS 0.259), in dorsal view not heard-shaped, with feebly concave anterior margin and convex sides; postpetiolar sternite completely flat. Clypeus rather smooth, with 4–5 weak longitudinal carinulae. Frontal laminae rather smooth, very delicately microreticulate-carinulate. Vertex with numerous bicoronate foveolae of 17–19 µm diameter, the margins of foveolae only rarely breached by microrugulae running partially or entirely through the foveolae, foveolar interspaces about as wide as foveolar diameter, glabrous, with scattered fragments of fine cross-branched structures or microcarinulae. A narrow median stripe on vertex perfectly smooth, paramedian vertex only in its anterior part weakly longitudinally microcarinulate. Despite of microsculpture all parts of mesosoma and waist appear in overall impression rather shiny. Dorsal promesonotum irregularly microreticulate-carinulate, with scattered suggestions of foveolae. Whole lateral mesosoma reticulate but moderately shiny. Region of the metapleural gland bulla with 2–4 short and weak longitudinal carinae. Propodeum and petiole microreticulate; Postpetiole more shiny, with very delicate microreticulum. Pubescence on gaster tergites moderately long and moderately dense, PLG/CS 5.13 %, sqPDG 5.34. Whole body dark to medium brown.</p> <p> <b>Taxonomic comments and clustering results</b>. As a combination of extremely small postocular index, petiolar height and postpetiolar width <i>Cardiocondyla opistopsis</i> is unmistakable.</p> <p> <b>Biology</b>. Unknown</p>Published as part of <i>Seifert, Bernhard, 2023, A revision of the Palaearctic species of the ant genus Cardiocondyla Emery 1869 (Hymenoptera: Formicidae), pp. 1-64 in Zootaxa 5274 (1)</i> on page 43, DOI: 10.11646/zootaxa.5274.1.1, <a href="http://zenodo.org/record/7888156">http://zenodo.org/record/7888156</a>
Cardiocondyla littoralis Seifert 2003
No full text<i>Cardiocondyla littoralis</i> Seifert 2003 [types investigated] <p>This species has been described from SE Kazakhstan. Investigated were the holotype worker and 11 worker paratypes, all labelled “KAZ: 46.41.57 N, 80.35.00 E, 358 m, W-Ufer des Sassy Kol, Lössboden, versalzt, hart, selten überschwemmt leg. Seifert 2001.08.07 -1”, SMN Goerlitz.</p> <p> <b>All material examined</b>. Numeric phenotypical data were taken in five workers of the type sample from Kazakhstan. For details see supplementary information SI1, SI2..</p> <p> <b>Geographic range</b>. Only known from the type locality (46.6992 °N, 80.5833 °E, 356 m).</p> <p> <b>Diagnosis</b>: --Worker (Tab. 2, Figs. 26–29, key). Small, CS 486 µm. Head moderately elongated, CL/CW 1.167. Postocular distance much larger than in <i>C. ulianini</i> and <i>C. caspiense</i> <b>n. sp.</b> PoOc/CL 0.442. Scape shorter, SL/CS 0.792. Eye rather large, EYE/CS 0.249. Occiput in dorsal aspect with evenly rounded corners, its median third straight or weakly concave. Frons moderately broad (FRS/CS 0.241), frontal carinae slightly converging immediately caudal of FRS level (FL/FR 1.044). Dorsal profile of promesonotum and of propodeum convex with a well-developed metanotal depression (MGr/CS 3.70 %). Propodeal spines very short (SP/CS 0.087, more triangular but with sharp tips), their axis in profile deviating by about 48° from longitudinal axis of mesosoma, their bases much approached (SPBA/CS 0.223). Petiole narrow and lower than in <i>C. ulianini</i> but still higher than wide (PeW/CS 0.274, PeH/ CS 0.306), its node in dorsal aspect as long as wide, tapering frontad; in lateral aspect its frontodorsal profile not concave, more directed caudad (about 50° relative to ventral profile). Postpetiole much narrower than in <i>C. ulianini</i>, less than twice as wide as high (PpW/CS 0.500, PpH/CS 0.277), in dorsal view heard-shaped, with a concave anterior margin and convex sides; postpetiolar sternite with a shallow anteromedian bulge. Clypeus between the level of the paramedian 1st order setae, smooth, its anteromedian margin straight or weakly concave. Frontal laminae and a small area posterior of them finely and densely longitudinally rugulose. Anteromedian vertex glabrous and whole vertex without longitudinal microsculpture, in overall impression similar to situation in <i>C. ulianini</i>, foveolar interspaces glabrous and on the average as wide as foveolar diameter (dFOV 13–16), the interspaces with scattered very fine stickman-like fragments of a microreticulum, internal foveolar surface often with longitudinal carinulae (Fig. 29). Dorsal mesosoma in overall impression shiny; dorsal promesonotum with shallow foveolae of 9–16 µm diameter, interspaces clearly wider than foveolar diameter; dorsal propodeum shiny but very finely microrugulose-reticulate. Caudolateral pronotum, ventrolateral mesonotum, mesopleuron, and propodeum below spiracular level finely reticulate. Lateral metapleuron with 2–4 curved longitudinal carinae. Waist segments almost smooth and shining. First gaster tergite glabrous. Pubescence on whole body rather long but dilute, PLG/CS 6.90 %, sqPDG 4.63. Color of head, mesosoma, femora, and gaster dark brown; waist segments sometimes slightly lighter with yellowish tinge.</p> <p> <b>Taxonomic comments and clustering results</b>. The taxonomic separation of <i>Cardiocondyla littoralis</i> from those of sympatric <i>C. ulianini</i> and <i>C. caspiense</i> <b>n. sp.</b> is supported by a PCA considering the characters PoOc/CL, Pew/CS, PpH/CS and PLG/CS (Fig. 136). The type specimens clearly differed from syntopic <i>ulianini</i> by the much larger PoOc/CL, larger PeW/PpW, a lower petiole with a less steep anterior slope, and by shorter spines. <i>C. littoralis</i> shows some similarity to the W Palaearctic <i>gallilaeica</i> from which it differs by the much larger PoOc/CL and PeW/PpW, the more excavated dorsofrontal postpetiolar margin, the almost straight median third of occipital margin, and the wider frons with more curved frontal carinae.</p> <p> <b>Biology.</b> The workers were collected when foraging on the surface of a salty loess soil with very sparse vegetation near the margin of a lake in a semidesert.</p>Published as part of <i>Seifert, Bernhard, 2023, A revision of the Palaearctic species of the ant genus Cardiocondyla Emery 1869 (Hymenoptera: Formicidae), pp. 1-64 in Zootaxa 5274 (1)</i> on page 34, DOI: 10.11646/zootaxa.5274.1.1, <a href="http://zenodo.org/record/7888156">http://zenodo.org/record/7888156</a>
Formica paralugubris SEIFERT 1996
No full textFormica paralugubris SEIFERT, 1996 Formica paralugubris SEIFERT, 1996 [type investigation] This taxon was described from the Swiss Jura Mountains (46.537° N, 6.192° E, 1450 m). The holotype gyne is labelled “SWI: Jura: 1994.06, Le Brassus-5SSW, Chalet a Roch Field Stat., nest G5” and depicted in AntWeb (ANTWEB 2021) under the unique specimen identifier FOCOL0762. Investigated was all type material, consisting of five gynes and 34 workers from the nests G1-G5 of the holotype supercolony, collected in the years 1993 and 1994. Depository SMN Görlitz. All material examined. Numeric phenotypical data were recorded in 73 nest samples with 355 workers and in 53 gynes. These originated from Austria (six samples), Canada (two), France (two), Germany (four), Italy (three), and Switzerland (58). Geographical range. Its natural range is rather small and extends over the montane-subalpine zone of the Jura Mountains and western Alps between 6° E and 11.5° E with a small exclave in the southern Schwarzwald / Germany. In the Alps, it ascends to 2300 m. A colony artificially introduced to Quebec / Canada in 1971 showed continuous growth to supercolonial size over 34 years (SEIFERT 2016a). Artificial introductions of wood ants to at least 42 localities over entire Italy south to Sicily and west to Sardinia were performed in the years 1959 - 1967 (e.g., PAVAN 1959). In that time, the transferred ants were classified as Formica lugubris. However, it is very likely that the vast majority of these introductions really involved Formica paralugubris as it was confirmed for five sites in the North Apennine (MASONI & al. 2019). Diagnosis of worker (Tab. 4, key). Minimum size, mean and maximum CS 1680 and 2020µ m.Head rather short, CL / CW 1750 1.091. Scape rather short and thickset, SL / CS 1750 0.902, SL / Smax 1750 9.22. Eyes always with long microsetae, EyeHL 1750 34µm. Setae number on dorsal plane of scape variable but on average higher than in Alpine Formica lugubris, nSc 1750 5.2. Posterior margin and underside of head always with conspicuous setae, nCH 1750 24.9, OccHL 1750 108 µm, nGu 1750 14.2, GuHL 1750 164µm. Mean length of pronotal setae, number and length of metapleural setae on average lower than in morph A1 of Alpine F. lugubris, mPnHL 1750 78 µm, nMet 1750 7.7, MetHL 1750 154 µm. Workers of morph A3 of Alpine F. lugubris are similar in the pilosity condition but have a much larger size, a larger head length index, and a shorter scape. Diagnosis of gyne (Tab. 7). On average smaller than morph A1 and A3 of Alpine Formica lugubris, mean and maximum CS 2095 and 2238 µm. Scape longer than in morph A3 of Alpine F. lugubris and very thickset, SL / CS 0.805, SL / Smax 7.97. Eyes always with conspicuous microsetae, EyeHL 41 µm. Setae number on dorsal plane of scape variable but on average higher than in morph A1 and A3 of Alpine F. lugubris, nSc 6.4. Posterior margin and underside of head always with conspicuous setae, the length of which is lower than in morph A1 but larger than in morph A3 of Alpine F. lugubris, nCH 23.8, OccHL 117 µm, nGu 16.7, GuHL 128 µm. Pronotal setae shorter than in morph A1 of Alpine F. lugubris, mPnHL 88 µm. Petiole setae fewer and metapleural setae shorter than in morph A1 of Alpine F. lugubris but more numerous and longer than in morph A3 of Alpine F. lugubris, nPe 9.2, MetHL 110 µm. Dorsal surface of gaster appears at lower magnification more or less shiny. Dorsum of first gaster tergite usually with weak transverse microripples and with foveolae and pubescence on average more densely packed than in Formica rufa or Formica polyctena, FodG 21.1 µm, sqPDG 4.62 µm. Taxonomic comments and clustering results. Considering the extreme polymorphism in Alpine Formica lugubris and the presence of another similar sympatric species Formica helvetica sp.n., the separation of Formica paralugubris in both workers and gynes should be problematic. I combined 98 nest samples with 409 workers of Alpine F. lugubris morphs A1 and A3 and of F. helvetica sp.n. in class 1, and 70 nest samples with 323 workers of F. paralugubris in class 2. A two-class LDA considering the characters CS, CL / CW 1750, SL / CS 1750, SL / Smax 1750, PeW / CS 1750, nSc 1750, nCH 1750, OccHL 1750, mPnHL 1750, nMet 1750, and MetHL 1750 classified all samples of F. paralugubris and 96 samples of the collective cluster correctly. This means a classification error of 1.2% within a total of 168 nest samples. A plot of the first and second factors of a PCA supported the existence of two main clusters class 1 and class 2, and disagreed in 3.0% of the samples with the LDA (Fig.32). The exploratory data analyses NC-part.kmeans, NC-Ward, and NC-NMDS.kmeans suggested two clusters and disagreed with the final species hy- pothesis by 3.6, 4.1, and 3.0%. The clustering by NC-part. hclust was ignored as it splitted into seven clusters and exposed 8.9% indeterminate samples (outliers). As result, we have a sufficiently good separation of F. paralugubris workers by morphology. The distinction of F.paralugubris gynes from those of Alpine F.lugubris morphs A1 and A3, and of F. helvetica sp.n. by a principal component analysis appears also rather clear when the eight characters CS, SL / CS, SL / Smax, PeW / CS, ML / CS, nSc, nCH, and OccHL are considered (Fig.33). Section “Hybrids Formica aquilonia × paralugubris ” (p.175) discusses the situation in hybrids F. aquilonia × paralugubris. Biology. See the species profile given by SEIFERT (2018).Published as part of Seifert, Bernhard, 2021, A taxonomic revision of the Palaearctic members of the Formica rufa group (Hymenoptera: Formicidae) - the famous mound-building red wood ants, pp. 133-179 in Myrmecological News 31 on pages 167-168, DOI: 10.25849/myrmecol.news_031:133, http://zenodo.org/record/558221
The Rubens morph of Formica exsecta Nylander, 1846 and its separation from Formica fennica Seifert, 2000 (Hymenoptera, Formicidae)
No full textA study of numeric morphology-based alpha-taxonomy (NUMOBAT) considering the species Formica exsecta Nylander, 1846 and F. fennica Seifert, 2000 was performed in 166 nest samples with 485 worker individuals originating from 117 localities of the Palaearctic west of 59°E. The presence of intraspecific pilosity dimorphism is shown for F. exsecta. The setae-reduced phenotype, termed the Rubens morph, shows a frequency of about 25%, and the more abundant setae-rich phenotype, termed the Normal morph, one of 75%. The frequency of nests containing workers of both phenotypes is 15.5% in 58 samples from Denmark, Sweden, and Finland. Applying the DIMORPH test of Seifert (2016) on this territory, it is demonstrated that the association of Rubens and Normal phenotypes within the same nest cannot be interpreted as parabiosis of independent species (p=0.017) or as temporary (p=0.0004) and permanent (p=0.0001) socially parasitic association, whereas genetically mediated intraspecific dimorphism is most likely (p=0.659, all p data according to Fisher’s exact test). The Rubens morph of F. exsecta is phenotypically most similar to F. fennica but is safely separable by four different forms of exploratory data analyses using nest centroids (NC) as input data: NC-Ward, NC-part.hclust, NC-part.kmeans, and NC-NMDS-k-means. Data on zoogeography and the narrow climate niche indicate that F. fennica is unlikely to occur in Norway
Cardiocondyla unicalis Seifert 2003
No full text<p>Cardiocondyla unicalis Seifert, 2003 #</p> <p>W.</p> <p>Det. Seifert</p> <p>SEIFERT (2003)</p>Published as part of <i>Paknia, O., Radchenko, A. & Alipanah, H., 2008, A preliminary checklist of the ants (Hymenoptera: Formicidae) of Iran., pp. 151-159 in Myrmecologische Nachrichten 11</i> on page 15
The cohomology ring of the orientable Seifert manifolds, II
No full textAbstractThe cohomology ring of an arbitrary orientable Seifert manifold is computed with Z/p coefficients for any prime p. In some cases the cohomology rings are given with Z/ps coefficients. These results will be used to compute the abelian Witten–Reshetikhin–Turaev type invariants and Dijkgraaf–Witten invariants for some classes of Seifert manifolds in a later paper. Finally, necessary and sufficient conditions for the existence of a degree one map from an orientable Seifert manifold into a lens space are given
Cardiocondyla paranuda Seifert 2003
No full textCardiocondyla paranuda Seifert 2003 Tab. 2, Figs. 14 – 16 Cardiocondyla paranuda Seifert 2003: 246. Holotype worker: alledgedly Tunisia, Chabania [SMNG, antweb.org images of specimen FOCOL 0739] (examined). Holotype labels " TUNISIA: Medinine- 32 km SE Chabania- 6 km NW leg. H.Heatwole 1976“, " Holotype Cardiocondyla paranuda Seifert ", "GBIF-D/ FoCol 0 739 specimen and label data documented", and " Seifert (2017): Confusion of label by Collingwood. Terra Typica by morphometric analysis most probably Australia". Material examined A total of 30 nest samples with 52 workers were subject to NUMOBAT investigation. Australia: Australia: without site and date, holotype of C. paranuda; New South Wales: Barham, 1960.03.23, [-35.62, 144.15]; New South Wales: Belanglo State Forest, 1991.02.16, [-34.53, 150.25]; New South Wales: Black Mountains, 1997.xx.xx, [-35.28, 149.09]; New South Wales: Broken Hill, Parkland, 1971.05.18, [-31.96, 141,46]; New South Wales: Fowlers Gap, 1979.02.19, [-31.02, 146.60]; New South Wales: Lake Menindee, 1971.05.19, [- 32.32, 142.40]; Sydney, Concord, 1960.05.0 1, [-33.86, 151.10]; Northern Territory: Alice Springs, Kunoth Paddock, 1974.10.22, No I, [-23.517, 133.583]; Northern Territory: Alice Springs, Kunoth Paddock, 1974.10.24, No I, [-23.517, 133.583]; Northern Territory: Ayers Rock, 1981.10.xx, [-25.35, 131.03]; Northern Territory: SW Katherine, Manaulloo, 1978.04.xx, [-14.5, 132.2], Northern Territory: Simpson Gap, 1972.xx.xx, [-23.71, 133.71]; Northern Territory: Ti Tree Well- 11 km S, 1962.10.28, [-22.26, 133.38]; Northern Territory: above Baroalba springs, 1972.11.17, [-12.47, 132.51]; Northern Territory: Yulara, 2014.07.27, No AUS39 (GenBank LT718213) [- 25.24361, 130.98639]; Queensland: Chilcott Island, 1967.08.xx, [-16.95, 149.91]; Queensland: Chilcott Island, 1967.08.xx, [-16.25, 150.00]; Queensland: Coongie- 25 km S, 1975.08.xx, [-27.5, 140.0]; Queensland: Cunnamulla, 1974.09.17, [-28.070, 145.67]; Queensland: Woodstock- 52 km S, 1976.04.11, [-20.07, 146.82]; South Australia: Alton Down, Birdsville- 48 km SW, 1972.xx.xx, [-26.28, 139.10]; South Australia: Flinders Ranges, Elatina Hut 1 km NW, [-31.35, 138.63]; South Australia: Flinders Ranges, Westwloona- 14 km WSW, [-31.50, 138.50]; South Australia: Flinders Range, 1999.01.0 6, (GenBank DQ 023068) [-31.37, 138.63]; Western Australia: Derby City, 1982.xx.xx, [-17.31, 123.62]; Western Australia: Eurardy station, 2015.02.04/11, [-27.531, 114.667]; Western Australia: Perth: Kings Park, 1969.12.14, [-31.96, 115.87]; Western Australia: Perth, pre 1965 (coll. J. Clark), [-31.97, 115.840]. Redescription of worker caste. Worker (Tab. 2, Figs. 14 – 16): Head elongated, CL/CW 1.214. Postocular distance rather large, PoOc/CL 0.463. Eyes relatively small, EYE 0.234. Frontal carinae immediately caudal of the FRS level parallel or very slightly converging. Foveolae on vertex without interspaces, deeply impressed, with 13 – 19 µm diameter, and with an inner corona (a flat tubercle) of 7 – 9 µm diameter having the base of a decumbent pubescence hair in its center. This type of sculpture can also be described as a strongly sculptured microreticulum. Longitudinal sculpture on vertex often completely absent (Fig. 15). Weak semicircular rugae are found around the antennal fossae. Lateral mesosoma on whole surface regularly and strongly microreticulate-foveolate; longitudinal sculpture except for 4 – 6 weak and short carinulae on metapleuron completely absent (Fig. 16); dorsal mesosoma irregularly reticulate-foveolate-shagrinate. Sides of petiole with a deeply sculptured microreticulum, dorsal petiole and postpetiole with a weak and shallowly sculptured microreticulum. Cuticular surface of first gaster tergite rather smooth and shining but on its whole surface with a well-developed microreticulum (Fig. 14). The pubescence hairs on gaster tergites are the shortest within the C. nuda group, PLG/CS is only 5.06%. Metanotal depression very shallow, MGr/CS 1.28%. Propodeal spines short but clearly longer than in the C. mauritanica species complex. Dorsal propodeum sloping down to base of spines under an angle of 20°. Petiole node slightly longer than wide. Postpetiole in dorsal view with only suggestedly angulate sides and straight anterior margin that is slightly shorter than posterior margin; postpetiolar sternite bulging, without any protrusions but on each side with a suggested paramedian, longitudinal carina. Head, mesosoma, waist and appendages often amber-colored, gaster significantly darker—this is the most frequently observed coloration but populations with dark headed specimens or such with concolorous amber specimens do occur. For morphometric data of 52 workers see Tab. 2. Geographic range. Australia, only species of the whole genus Cardiocondyla occurring in inner Australia. Diagnosis. see key. The very short gastral pubescence is the most obvious difference to the sister species C. atalanta. Biology. C. paranuda is apparently well adapted to arid and very hot climate and the only species of the whole genus Cardiocondyla occurring in inner Australia. This is demonstrated by significant differences between C. atalanta and C.paranuda in the continentality of the sites. The mean distance from sea shore and mean annual rainfall are 23 ± 51 [0,252] km and 1430 ± 716 [500, 4500] mm in 27 sites of C. atalanta and 329 ± 332 [0, 904] km and 588 ± 385 [150, 1250] mm in 27 sites of C. paranuda. These differences are significantly different in both sea shore distance (ANOVA F1,52=22.39, p<0.0005) and annual rainfall (ANOVA F1,52=28.90, p<0.0005). As yet only foragers have been collected and colony structure, male morphology, and behavior are unknown. Comments. There is a serious problem with the site documentation in the holotype of C. paranuda. The specimen was sent by C.A. Collingwood to the senior author in the 1980s with the labelling " TUNISIA: Medinine- 32 km SE Chabania- 6 km NW leg. H.Heatwole 1976 “. If run as a wild-card in a LDA considering all 16 morphometric characters and collecting all samples of the C. mauritanica species complex in class 1 and all of the C. nuda complex in class 2, the holotype C. paranuda is allocated to the C. nuda complex with p=1.0000. This is problematic because species of the C. nuda species complex are completely absent from the West Palaearctic and North Africa and it appears also most unlikely that ants from Australia should have been anthropogenically introduced to a site in the Sahara desert. Furthermore, NC-clustering places the holotype in a cluster of C. nuda group specimens that are treated as a single species that is restricted to the Australian continent and sister to C. atalanta (Fig. 8). A wild-card run in a LDA confirms this allocation with p=0.9916 (see section 4.4). The most probable explanation for this conflicting situation is a confusion of labels. Harold Heatwole collected in North Africa, Tibet and Australia—for instance, the two C. paranuda samples from Queensland: Chilcott Island in 1967 were taken by him. He usually gave his specimens to Collingwood stored in tubes with ethanol. As repeatedly witnessed by the senior author in personal contacts during laboratory work in 1982 and 1990, Collingwood had the dangerous habit of placing similar ethanol-stored ants from different tubes side-by-side under the microscope for better comparison and sometimes he confused from which tube he had taken the specimens. We conclude that the type of C. paranuda has most probably been collected somewhere in Australia.Published as part of Seifert, Bernhard, Okita, Ichiro & Heinze, Jürgen, 2017, A taxonomic revision of the Cardiocondyla nuda group (Hymenoptera: Formicidae), pp. 324-356 in Zootaxa 4290 (2) on pages 346-349, DOI: 10.11646/zootaxa.4290.2.4, http://zenodo.org/record/82907
The Seifert construction.
No full text<p>The construction of the <i>T</i><sub>2</sub>-tetrahedral link from a tetrahedral graph and the construction of <i>Seifert surface</i> based on its minimal projection. Each strand is assigned by a different color. The Seifert circles distributed at vertices have opposite direction with the Seifert circles distributed at edges. The arrows indicate the 5′ - 3′ direction of the DNA backbone.</p
The integral homology of orientable Seifert manifolds
No full textAbstractFor any orientable Seifert manifold M, the integral homology group H1(M)=H1(M;Z) is computed and explicit generators are found. This calculation gives a presentation for the p-torsion of H1(M) for any prime p. Since Seifert manifolds have dimension 3, H1(M) determines H∗(M;A) and H∗(M;A) as well, for any abelian group A. The complete details are given when A=Z, Z/ps.In order to calculate the partition functions of the Dijkgraaf–Witten topological quantum field theories it is necessary to compute the linking form of the underlying 3-manifold. In the case of the orientable Seifert manifolds it is possible to compute the linking form. The calculation of the linking form involves finding a presentation of the torsion of the first integral homology of the orientable Seifert manifolds, which is the main result of this paper
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