Results 11 to 20 of about 6,115 (235)

ON THE COHOMOLOGY OF TORELLI GROUPS [PDF]

open access: yesForum 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

Bounded cohomology and binate groups [PDF]

open access: yesJournal of the Australian Mathematical Society, 2022
A group is boundedly acyclic if its bounded cohomology with trivial real coefficients vanishes in all positive degrees. Amenable groups are boundedly acyclic, while the first non-amenable examples were the group of compactly supported homeomorphisms of $\
Clara Löh   +6 more
core   +7 more sources

On the integral cohomology of Bianchi groups [PDF]

open access: yesExperimental Mathematics, 2011
Extensive and systematic machine computations are carried out to investigate the integral cohomology of the Euclidean Bianchi groups and their congruence subgroups.
Sengun, M.H.   +2 more
core   +5 more sources

Cellular Cohomology in Homotopy Type Theory [PDF]

open access: yesLogical 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

On Cohomology Groups of Four-Dimensional Nilpotent Associative Algebras

open access: yesمجلة 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

Coarse Sheaf Cohomology

open access: yesMathematics, 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

Isotropy in group cohomology [PDF]

open access: yesBulletin 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

From β to η: a new cohomology for deformed Sasaki-Einstein manifolds

open access: yesJournal 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

Cohomology of profinite groups of bounded rank

open access: yesTransactions 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

Equivariant Lie–Rinehart cohomology; pp. 294–300 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2010
In this paper we study Lie–Rinehart 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

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