121,779 research outputs found
Formaliteit en vervormingstheorie via L-oneindig paren
No full textIn rational homotopy theory, varieties are encoded by their algebraic models thanks to the work of Sullivan, Morgan, and Hain among others. Although often hard to detect, these algebraic objects are found to be formal in certain cases, that is, there is an equivalence between the algebraic object and its chain cohomology. Formality of an algebraic model has deep consequences in the topology of the associated space; for example, the rational homotopy type of a formal space is completely determined by its cohomology ring. In terms of deformation theory this implies that the deformation functors simplify considerably.
In the first part of this thesis we provide formality criteria for homotopy \cP-algebras, which are a very broad class of algebraic objects. This unifies and generalizes previous results by Kaledin and Manetti. In particular, we construct operadic Kaledin classes and show that they are obstructions to formality. Moreover, we prove that degeneration at the page of the operadic cohomology spectral sequences implies formality.
The second part of the thesis is concerned with deformation theory. Following Budur and Wang's theory of deformation, we develop a new deformation theory with cohomology constraints to accommodate \Linf pairs, which are homotopy stable algebraic objects. As an application we prove a structure theorem for possibly singular varieties; in particular, we show that for complex algebraic varieties with vanishing weight-zero -cohomology, the irreducible components of the cohomology jump loci of rank one local systems containing the constant sheaf are tori. This entails restrictions on the fundamental groups.status: Publishe
Jumping coefficients and spectrum of a hyperplane arrangement
No full textIn an earlier version of this paper written by the second named author, we showed that the jumping coefficients of a hyperplane arrangement depend only on the combinatorial data of the arrangement as conjectured by Mustaţǎ. For this we proved a similar assertion on the spectrum. After this first proof was written, the first named author found a more conceptual proof using the Hirzebruch-Riemann-Roch theorem where the assertion on the jumping numbers was proved without reducing to that for the spectrum. In this paper we improve these methods and show that the jumping numbers and the spectrum are calculable in low dimensions without using a computer. In the reduced case we show that these depend only on fewer combinatorial data, and give completely explicit combinatorial formulas for the jumping coefficients and (part of) the spectrum in the case the ambient dimension is 3 or 4. We also give an analogue of Mustaţǎ's formula for the spectrum. © 2009 Springer-Verlag.sponsorship: N. Budur is supported by the NSF grant DMS-0700360. M. Saito is partially supported by Kakenhi 19540023. (NSF|DMS-0700360, Kakenhi|19540023, Grants-in-Aid for Scientific Research|19540023)status: Publishe
Contractible curves on a rational surface
No full textIn this paper we prove that if S is a smooth, irreducible, projective, rational, complex surface and D an effective, connected, reduced divisor on S, then the pair (S,D) is contractible (i.e., there is a birational map φ: S →S’ with S’ smooth such that φ∗(D) = 0) if kod(S,D) = −∞. More generally, we even prove that this contraction is possible without blowing up an assigned cluster of points on S. Using the theory of peeling, we are also able to give some information in the case D is not connected
A Multi-Language Comparison of Influences on Author Verification using Character N-Grams
No full textWe create a new multi-language corpus for author verification based on Wikipedia talkpages, and evaluate the influence that differences in topic and time have on character n-gram author profiles. Topic alignment between two texts is found to increase author verification precision, and an authors writing style is found to change over time, but not more significantly after 3 years than after 1 year.Information ArchitectureWISElectrical Engineering, Mathematics and Computer Scienc
Appropriate Similarity Measures for Author Cocitation Analysis
Get PDFWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
The vanishing author in computer-generated works: a critical analysis of recent Australian case law
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The use of software is ubiquitous in the creation of many copyright works, yet the requirement in copyright law that every work have a human author who engages in independent intellectual effort means that its use may prevent copyright subsistence. Several recent Australian cases have refocused attention on authorship as an essential criterion of copyright subsistence, and these cases suggest that much computer-produced output may be authorless and thus lack copyright protection. This article, the first in a two-part series, analyses how each case deals with the question of authorship of computer-produced works and why the use of software diminishes copyright protection for a significant number of computer-generated works. The article critiques the application of conventional notions of human authorship developed in the pre-computer age to modern productions and suggests alternative approaches to authorship that satisfy both the major objectives of copyright policy and the need to adapt to the computer age. The article argues that, without a broader judicial approach to authorship of computer-generated works, Parliament must remedy the lacuna in protection for these ‘authorless’ works. Possible solutions for reform are suggested. In a forthcoming article, the author comprehensively examines those reform proposals
Diffusive author(s), cohesive author: Analysis of S/N (1994)
No full textThis study indicates the ways in which various aspects of the author(s) are brought forth in Dumb type’s performance art, the S/N production. Previous research has suggested a non-hierarchical organization of Dumb type and the absence of a “privileged author” in Dumb type’s collaborative work, S/N. However, the results that I have investigated from member’s interviews on the creative process of S/N along with my analysis of the recorded images of S/N, indicate a different aspect of the author(s). First, S/N was created through, so to speak, the collective ideas of the members of Dumb type. Further, S/N has at least nine quotations from previous performances, installations, and printed writings, besides the work-in-progress technique. Explicating one of the “author functions” as given by Michel Foucault, each text has plural subjects of the author. However, it has been revealed from members’ interviews that Teiji Furuhashi had a decision-making role in selecting the members’ ideas within the performance. Since then, S/N has had plural subjects of creation; however, Furuhashi is one of the subjects of creation along with the “privileged author.” S/N has plural authors (diffusive authors) yet at the same time, it has a “privileged author,” Teiji Furuhashi (cohesive author)
Links connecting nurses' planned behavior, burnout, job satisfaction, and organizational citizenship behavior
No full textDinc, Muhammet Sait/0000-0002-1146-5474; Budur, Taylan/0000-0001-8123-4404; kuzey, cemil/0000-0003-0141-1744This study aims to investigate the relationships between the planned behavior, burnout, overall job satisfaction, and organizational citizenship behavior of nurses in three public hospitals in Iraq. The methodology included descriptive statistics, PLS-based-SEM, and mediation analysis. An assessment of data collected from a survey based on an interview with 428 nurses participating showed that the attitude of the nurses toward their behavior significantly positively affected their burnout and overall job satisfaction, while their subjective norm and perceived behavioral control significantly positively influenced burnout. The burnout experienced by the nurses significantly negatively impacted their citizenship behavior, while overall; their job satisfaction significantly positively affected their citizenship behavior. Though the nurses' burnout partially mediated the relationships between their planned behavior and citizenship behavior, their overall job satisfaction partially mediated the association between their subjective norm/perceived behavioral control and citizenship behavior
Dissipative Range Scaling of Higher Order Structure Functions for Velocity and Passive Scalars
No full textDifferently to Kolmogorov's second similarity hypothesis, we find that the 2n-th order velocity and scalar structure functions scale with n-th order moment of the energy dissipation and the scalar dissipation, respectively. The origins of this scaling are analyzed by the transport equations of the fourth order velocity and scalar increment moments and by direct numerical simulations
The monodromy theorem for compact Kaehler manifolds and smooth quasi-projective varieties
No full text© 2017, Springer-Verlag Berlin Heidelberg. Given any connected topological space X, assume that there exists an epimorphism ϕ:π1(X)→Z. The deck transformation group Z acts on the associated infinite cyclic cover Xϕ of X, hence on the homology group Hi(Xϕ, C). This action induces a linear automorphism on the torsion part of the homology group as a module over the Laurent ring C[t, t- 1] , which is a finite dimensional C-vector space. We study the sizes of the Jordan blocks of this linear automorphism. When X is a compact Kähler manifold, we show that all the Jordan blocks are of size one. When X is a smooth complex quasi-projective variety, we give an upper bound on the sizes of the Jordan blocks, which is an analogue of the Monodromy Theorem for the local Milnor fibration.sponsorship: We thank Lizhen Qin for many helpful discussions. N. Budur and Y. Liu were partially supported by a FWO Grant, a KU Leuven OT Grant, and a Flemish Methusalem Grant. We also would like to thank the anonymous referee for valuable comments and suggestions. (FWO Grant, KU Leuven OT Grant, Flemish Methusalem Grant)status: Publishe
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