3,098,037 research outputs found
Grid diagram for singular links
No full textIn this paper, we define the set of singular grid diagrams which provides a unified description for singular links, singular Legendrian links, singular transverse links, and singular braids. We also classify the complete set of all equivalence relations on which induce the bijection onto each singular object. This is an extension of the known result of Ng-Thurston [Grid diagrams, braids, and contact geometry, in Proc. Gökova Geometry-Topology Conf. 2008, Gökova Geometry/Topology Conference (GGT), Gökova, 2009, pp. 120-136] for nonsingular links and braids. © 2018 World Scientific Publishing Company011Nsciescopu
Recommended from our members
hee hee
No full texthee hee by Michelle Kim
You are Michael Jackson and you must must convince everyone that you are not infact dead, but everyone you meet think that you are atmost an above average impersonator
On the Chern numbers for pseudo-free circle actions
No full textLet (M, psi) be a (2n + 1)-dimensional oriented closed manifold with a pseudo-free S-1-action psi : S-1 x M -> M. We first define a local data L (M, psi) of the action which consists of pairs (C, (p (C); (q) over right arrow (C))) where C is an exceptional orbit, p (C) is the order of isotropy subgroup of C, and (q) over right arrow (C) is an element of (Z(p(C)) (x))(n) is a vector whose entries are the weights of the slice representation of C. In this paper, we give an explicit formula of the Chern number modulo Z in terms of the local data, where E = M x (S1) C is the associated complex line orbibundle over M/S-1. Also, we illustrate several applications to various problems arising in equivariant symplectic topology. c.International Press of Boston, Inc.11sci
Automorphisms of braid groups on orientable surfaces
No full textIn this paper, we compute the automorphism groups Aut(Pn(Σ)) and Aut(Bn(Σ)) of braid groups Pn(Σ) and Bn(Σ) on every orientable surface Σ, which are isomorphic to group extensions of the extended mapping class group M∗n(Σ) by the transvection subgroup except for a few cases. We also prove that Pn(Σ) is always a characteristic subgroup of Bn(Σ), unless Σ is a twice-punctured sphere and n = 2. (c) World Scientific Publishing Company101sciescopu
A criterion for the Legendrian simplicity of the connected sum
No full textIn this paper, we provide the necessary and sufficient conditions for the connected sum of knots in S3 to be Legendrian simple. © 2016 Elsevier B.V101sciescopu
Rapid identification and management of stress-induced cardiomyopathy using POCUS after strangulation: A case report
No full textRATIONALE: Stress-induced cardiomyopathy (SCMP), also known as Takotsubo syndrome, is a transient cardiac condition often precipitated by severe emotional or physical stress. It is commonly mistaken for acute coronary syndrome due to similar clinical presentations. The use of point-of-care ultrasound (POCUS) provides a noninvasive, rapid diagnostic alternative that can potentially reduce the need for invasive coronary angiography, especially in emergency settings. PATIENT CONCERNS: A 26-year-old woman with type 1 diabetes presented to the emergency department following a suicidal hanging attempt. Upon arrival, she was conscious but confused, with stable vital signs. There were visible signs of strangulation, but no other immediate physical abnormalities. Laboratory tests revealed elevated cardiac enzymes and hyperglycemia. DIAGNOSES: Initial bedside POCUS revealed a reduced ejection fraction and regional wall motion abnormalities in the midportion of the left ventricle, suggesting SCMP. These findings, combined with the patient's history and absence of other contributory factors, led to a provisional diagnosis of SCMP. INTERVENTIONS: The patient was admitted to the intensive care unit for close monitoring. Serial POCUS examinations were performed to track cardiac function. Due to the rapid improvement in regional wall motion abnormalities observed through POCUS, the planned coronary angiography was deferred. OUTCOMES: The patient exhibited significant clinical improvement within 24 hours, with normalization of cardiac function as demonstrated by follow-up POCUS. Cardiac enzyme levels also returned to normal. The patient was discharged directly from the intensive care unit without the need for further invasive procedures. LESSONS: This case underscores the diagnostic value of POCUS in rapidly identifying SCMP in emergency settings, which can guide timely and appropriate management. The noninvasive nature of POCUS may reduce the need for invasive diagnostics, minimize hospital stay duration, and enhance cost-effectiveness in managing SCMP
Ruling invariants for Legendrian graphs
No full text© 2022, International Press, Inc.. All rights reserved.We define ruling invariants for even-valent Legendrian graphs in standard contact three-space. We prove that rulings exist if and only if the DGA of the graph, introduced by the first two authors, has an augmentation. We set up the usual ruling polynomials for various notions of gradedness and prove that if the graph is four-valent, then the ungraded ruling polynomial appears in Kauffman– Vogel’s graph version of the Kauffman polynomial. Our ruling in-variants are compatible with certain vertex-identifying operations as well as vertical cuts and gluings of front diagrams. We also show that Leverson’s definition of a ruling of a Legendrian link in a connected sum of S1 × S2 ’s can be seen as a special case of ours.11Nsciescopu
An Analytical Study of Long-term Deformation in SRC Columns Considering Differential Moisture Distribution
No full textA Chekanov–Eliashberg algebra for Legendrian graphs
No full textⓒ 2020 The Authors. We define a differential graded algebra for Legendrian graphs and tangles in the standard contact Euclidean three space. This invariant is defined combinatorially by using ideas from Legendrian contact homology. The construction is distinguished from other versions of Legendrian contact algebra by the vertices of Legendrian graphs. A set of countably many generators and a generalized notion of equivalence are introduced for invariance. We show a van Kampen type theorem for the differential graded algebras under the tangle replacement. Our construction recovers many known algebraic constructions of Legendrian links via suitable operations at the vertices.11Nsciescopu
A family of pseudo-anosov braids with large conjugacy invariant sets
No full textWe show that there is a family of pseudo-Anosov braids independently parametrized
by the braid index and the (canonical) length whose smallest conjugacy invariant sets
grow exponentially in the braid index and linearly in the length.101sciescopu
- …
