Results 21 to 30 of about 6,349 (237)

Overconvergent modular forms are highest-weight vectors in the Hodge-Tate weight zero part of completed cohomology

Forum of Mathematics, Sigma, 2021
We construct a $(\mathfrak {gl}_2, B(\mathbb {Q}_p))$ and Hecke-equivariant cup product pairing between overconvergent modular forms and the local cohomology at $0$ of a sheaf on $\mathbb {P}^1$, landing in the compactly supported completed $\mathbb {C ...
Sean Howe
doaj   +1 more source

The cohomology of the alternating groups. [PDF]

Michigan Mathematical Journal, 1985
Let p be an odd prime. The author investigates mod p-cohomology of the alternating group \(A_{p^ n}\). He exploits the fact that in this case the regular representation \(({\mathbb{Z}}/p)^ n\hookrightarrow S_{p^ n}\) in the symmetric group factors through the alternating group.
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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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The eleventh cohomology group of $\overline {\mathcal {M}}_{g,n}$

Forum of Mathematics, Sigma, 2023
We prove that the rational cohomology group $H^{11}(\overline {\mathcal {M}}_{g,n})$ vanishes unless $g = 1$ and $n \geq 11$ . We show furthermore that $H^k(\overline {\mathcal {M}}_{g,n})$ is pure Hodge–Tate for all even ...
Samir Canning, Hannah Larson, Sam Payne
doaj   +1 more source

COHOMOLOGY OF KLEINIAN GROUPS [PDF]

Proceedings of the National Academy of Sciences, 1969
Let [unk] be a (nonelementary) Kleinian group and q ≥ 2 an integer. The group [unk] acts in a natural way on the vector space II 2 q —2 of complex polynomials in one variable of degree ≤ 2 q — 2. One can thus form
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Nilpotence in group cohomology [PDF]

Proceedings of the Edinburgh Mathematical Society, 2012
AbstractWe study bounds on nilpotence in H*(BG), the mod p cohomology of the classifying space of a compact Lie group G. Part of this is a report of our previous work on this problem, updated to reflect the consequences of Peter Symonds's recent verification of Dave Benson's Regularity Conjecture.
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BOUNDED COHOMOLOGY AND BINATE GROUPS

Journal of the Australian Mathematical Society, 2022
AbstractA 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 nonamenable examples are the group of compactly supported homeomorphisms of$ {\mathbb {R}}^{n}$(Matsumoto–Morita) and mitotic groups (Löh).
Fournier-Facio, Francesco, Löh, Clara, Moraschini, Marco   +2 more
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A new description of equivariant cohomology for totally disconnected groups [PDF]

, 2008
We consider smooth actions of totally disconnected groups on simplicial complexes and compare different equivariant cohomology groups associated to such actions.
Voigt, C.
core   +1 more source

Substitutions with Vanishing Rotationally Invariant First Cohomology

Discrete Dynamics in Nature and Society, 2012
The cohomology groups of tiling spaces with three-fold and nine-fold symmetries are obtained. The substitution tilings are characterized by the fact that they have vanishing first cohomology group in the space of tilings modulo a rotation.
Juan García Escudero
doaj   +1 more source

Partial cohomology of groups

Journal of Algebra, 2015
We added a corrigendum in which we prove a corrected version of Theorem 5.4 from [v2]
M. Dokuchaev, M. Khrypchenko
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