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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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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 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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From β to η: a new cohomology for deformed Sasaki-Einstein manifolds
Journal of High Energy Physics, 2022 We discuss in detail the different analogues of Dolbeault cohomology groups on Sasaki-Einstein manifolds and prove a new vanishing result for the transverse Dolbeault cohomology groups H ∂ ¯ p 0 k $$ {H}_{\overline{\partial}}^{\left(p,0\right)}(k ...
Edward Lødøen Tasker
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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 THE COHOMOLOGY OF TORELLI GROUPS
Forum of Mathematics, Pi, 2020 We completely describe the algebraic part of the rational cohomology of the Torelli groups of the manifolds $\#^{g}S^{n}\times S^{n}$ relative to a disc in a stable range, for $2n\geqslant 6$.
ALEXANDER KUPERS, OSCAR RANDAL-WILLIAMS
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The cohomology of Torelli groups is algebraic
Forum of Mathematics, Sigma, 2020 The Torelli group of $W_g = \#^g S^n \times S^n$ is the group of diffeomorphisms of $W_g$ fixing a disc that act trivially on $H_n(W_g;\mathbb{Z} )$ .
Alexander Kupers, Oscar Randal-Williams
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Duality for $K$-analytic Group Cohomology of $p$-adic Lie Groups
Comptes Rendus. Mathématique, 2022 We prove a duality result for the analytic cohomology of Lie groups over non-archimedean fields acting on locally convex vector spaces by combining Tamme’s non-archimedean van Est comparison morphism with Hazewinkel’s duality result for Lie algebra ...
Thomas, Oliver
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On the Morse–Novikov Cohomology of blowing up complex manifolds
Comptes Rendus. Mathématique, 2020 Inspired by the recent works of S. Rao–S. Yang–X.-D. Yang and L. Meng on the blow-up formulae for de Rham and Morse–Novikov cohomology groups, we give a new simple proof of the blow-up formula for Morse–Novikov cohomology by introducing the relative ...
Zou, Yongpan
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