Results 31 to 40 of about 40,354 (209)
Quandle cohomology is a Quillen cohomology [PDF]
Transactions of the American Mathematical Society, 2018 Racks and quandles are fundamental algebraic structures related to the topology of knots, braids, and the Yang–Baxter equation. We show that the cohomology groups usually associated with racks and quandles agree with the Quillen cohomology groups for the algebraic theories of racks and quandles, respectively.
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On the Cohomology of Topological Semigroups
Communications in Advanced Mathematical Sciences, 2019 In this short note, we give some new results on continuous bounded cohomology groups of topological semigroups with values in complex field. We show that the second continuous bounded cohomology group of a compact metrizable semigroup, is a Banach space.
Maysam Maysami Sadr +1 more
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Journal of Algebra, 2021 Comment: We correct here an error in an earlier ...
Jörg Feldvoss, Friedrich Wagemann
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Cohomology of deformations [PDF]
Journal of Topology and Analysis, 2014 In this paper we study cohomology of a group with coefficients in representations on Banach spaces and its stability under deformations. We show that small, metric deformations of the representation preserve vanishing of cohomology. As applications we obtain deformation theorems for fixed point properties on Banach spaces.
Uri Bader, Piotr W. Nowak
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A Cohomology Theory for Commutative Monoids
Mathematics, 2015 Extending Eilenberg–Mac Lane’s cohomology of abelian groups, a cohomology theory is introduced for commutative monoids. The cohomology groups in this theory agree with the pre-existing ones by Grillet in low dimensions, but they differ beyond dimension ...
María Calvo-Cervera, Antonio M. Cegarra
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A Note on Coeffective 1–Differentiable Cohomology
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 After a brief review of some basic notions concerning 1-differentiable cohomology, named here ď-cohomology, we introduce a Lichnerowicz ď– cohomology in a classical way.
Ida Cristian, Mercheşan Sabinşan
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Selecta Mathematica, 2017 Let $k$ be a field, $G$ be an abelian group and $r\in \mathbb N$. Let $L$ be an infinite dimensional $k$-vector space. For any $m\in End_k(L)$ we denote by $r(m)\in [0,\infty ]$ the rank of $m$. We define by $R(G,r,k)\in [0,\infty]$ the minimal $R$ such that for any map $A:G \to End_k(L)$ with $r(A(g'+g'')-A(g')-A(g''))\leq r$, $g',g''\in G$ there ...
Kazhdan, David, Ziegler, Tamar
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A remark on singular cohomology and sheaf cohomology
MATHEMATICA SCANDINAVICA, 2022 We prove a comparison isomorphism between singular cohomology and sheaf cohomology.
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On Schubert calculus in elliptic cohomology [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 An important combinatorial result in equivariant cohomology and $K$-theory Schubert calculus is represented by the formulas of Billey and Graham-Willems for the localization of Schubert classes at torus fixed points.
Cristian Lenart, Kirill Zainoulline
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Mathematical Proceedings of the Cambridge Philosophical Society, 2014 AbstractWe consider two categorifications of the cohomology of a topological spaceXby taking coefficients in the category of differential graded categories. We consider both derived global sections of a constant presheaf and singular cohomology and find the resulting dg-categories are quasi-equivalent and moreover quasi-equivalent to representations in
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