Results 21 to 30 of about 1,348 (187)
L2-Cohomology and group cohomology
Topology, 1986 Simplicial \(L_ 2\)-cohomology is based on the space of square-summable real-valued cochains on a simplicial complex. The authors show how to extend this \(L_ 2\)-cohomology to group equivariant singular \(L_ 2\)- cohomology on arbitrary topological spaces.
Cheeger, Jeff, Gromov, Mikhael
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On Rham cohomology of locally trivial Lie groupoids over triangulated manifolds
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 Based on the isomorphism between Lie algebroid cohomology and piecewise smooth cohomology of a transitive Lie algebroid, it is proved that the Rham cohomology of a locally trivial Lie groupoid G on a smooth manifold M is isomorphic to the piecewise Rham ...
Jose R. Oliveira
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Deformations of Yang-Baxter operators via n-Lie algebra cohomology
Nuclear Physics B, 2023 We introduce a cohomology theory of n-ary self-distributive objects in the tensor category of vector spaces that classifies their infinitesimal deformations.
Mohamed Elhamdadi, Emanuele Zappala
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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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Motives with modulus, II: Modulus sheaves with transfers for proper modulus pairs [PDF]
Épijournal de Géométrie Algébrique, 2021 We develop a theory of sheaves and cohomology on the category of proper modulus pairs. This complements [KMSY21], where a theory of sheaves and cohomology on the category of non-proper modulus pairs has been developed.
Bruno Kahn +3 more
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Cohomology Theory of Nonassociative Algebras with Metagroup Relations
Axioms, 2019 Nonassociative algebras with metagroup relations and their modules are studied. Their cohomology theory is scrutinized. Extensions and cleftings of these algebras are studied. Broad families of such algebras and their acyclic complexes are described. For
Sergey V. Ludkowski
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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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Equivariant Lie–Rinehart cohomology; pp. 294–300 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 In this paper we study LieâRinehart cohomology for quotients of singularities by finite groups, and interpret these cohomology groups in terms of integrable connection on modules.
Eivind Eriksen, Trond Stølen Gustavsen
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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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Amenability Constants for Unconditional Sums of Banach Algebras
Mathematische Nachrichten, EarlyView.ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
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