Results 1 to 10 of about 4,558 (244)
ON THE COHOMOLOGY OF TORELLI GROUPS [PDF]
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
doaj +3 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Isotropy in group cohomology [PDF]
Bulletin of the London Mathematical Society, 2014 The analogue of Lagrangians for symplectic forms over finite groups is studied, motivated by the fact that symplectic G-forms with a normal Lagrangian ...
Ben David, Nir +2 more
openaire +5 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Transactions of the American Mathematical Society, 1970 Let G be a group of Mobius transformations and V the space of com- plex polynomials of degree < some fixed even integer. Using the action of G on V defined by Eichler, we compute the dimension of the cohomology space H'(G, V), first for G an arbitrary F-group (a generalization of Fuchsian group) and then for the free product of finitely many F-groups ...
openaire +2 more sources
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
openaire +1 more source