Results 1 to 10 of about 75,614 (157)
Cellular Cohomology in Homotopy Type Theory [PDF]
Logical Methods in Computer Science, 2020 We present a development of cellular cohomology in homotopy type theory. Cohomology associates to each space a sequence of abelian groups capturing part of its structure, and has the advantage over homotopy groups in that these abelian groups of many ...
Ulrik Buchholtz, Kuen-Bang Hou
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Semiinfinite cohomology of quantum groups [PDF]
Communications in Mathematical Physics, 1996 In this paper we develop a new homology theory of associative algebras called semiinfinite cohomology in a derived category setting. We show that in the case of small quantum groups the zeroth semiinfinite cohomology of the trivial module is closely ...
Arkhipov, Sergey
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Stable cohomology of alternating groups [PDF]
Open Mathematics, 2014 Abstract We determine the stable cohomology groups ($$H_S^i \left( {{{\mathfrak{A}_n ,\mathbb{Z}} \mathord{\left/ {\vphantom {{\mathfrak{A}_n ,\mathbb{Z}} {p\mathbb{Z}}}} \right. \kern-\nulldelimiterspace} {p\mathbb{Z}}}} \right)$$ of the alternating groups $$\mathfrak{A}_n$$ for all integers n and i, and all odd primes p.
Bogomolov Fedor, Böhning Christian
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Unramified cohomology of alternating groups
Open Mathematics, 2011 Abstract We prove vanishing results for the unramified stable cohomology of alternating groups.
Bogomolov Fedor, Petrov Tihomir
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Weighted cohomology of arithmetic groups [PDF]
The Annals of Mathematics, 1999 M. Goresky, G. Harder, and R. MacPherson defined weighted cohomologies of arithmetic groups \Gamma in a real group G, with coefficients in certain local systems, associated to arbitrary upper and lower weight profiles. The author shows, using essentially
Nair, Arvind
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On Cohomology Groups of Four-Dimensional Nilpotent Associative Algebras
مجلة بغداد للعلوم, 2022 The study of cohomology groups is one of the most intensive and exciting researches that arises from algebraic topology. Particularly, the dimension of cohomology groups is a highly useful invariant which plays a rigorous role in the geometric ...
N. F. Mohammed +2 more
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Mathematics, 2023 A certain Grothendieck topology assigned to a metric space gives rise to a sheaf cohomology theory which sees the coarse structure of the space. Already constant coefficients produce interesting cohomology groups. In degree 0, they see the number of ends
Elisa Hartmann
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Cohomology of Artin Groups [PDF]
Mathematical Research Letters, 1996 Let \(W,S\) be a Coxeter system realized as an irreducible reflection group in \(\mathbb{R}^n\). Denote by \(A=(H)\) the arrangement of reflection hyperplanes and by \(G_W\) the corresponding Artin group. The authors introduce some combinatorial complex \(X_W\) which is homotopically equivalent to the orbit space \((\mathbb{C}^n -\bigcup_{H \in A ...
De Concini, C., Salvetti, M.
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Cohomology of Group Extensions [PDF]
Transactions of the American Mathematical Society, 1953 This method is based on the Cartan-Leray spectral sequence, [3; 1 ], and can be generalized to other algebraic situations, as will be shown in a forthcoming paper of Cartan-Eilenberg [2]. Since the details of the Cartan-Leray technique have not been published (other than in seminar notes of limited circulation), we develop them in Chapter I.
Hochschild, G., Serre, Jean-Pierre
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Cohomology of profinite groups of bounded rank
Transactions of the London Mathematical Society, 2021 We generalise to profinite groups some of our previous results on the cohomology of pro‐p groups of bounded sectional p‐rank.
Peter Symonds
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