Results 31 to 40 of about 12,740,858 (240)

A cocycle model for topological and Lie group cohomology [PDF]

open access: yes, 2011
We propose a unified framework in which the different constructions of cohomology groups for topological and Lie groups can all be treated on equal footings.
F. Wagemann, Christoph Wockel
semanticscholar   +1 more source

The eleventh cohomology group of $\overline {\mathcal {M}}_{g,n}$

open access: yesForum 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

On Schubert calculus in elliptic cohomology [PDF]

open access: yesDiscrete 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
doaj   +1 more source

Hochschild and block cohomology varieties are isomorphic [PDF]

open access: yes, 2010
We show that the varieties of the Hochschild cohomology of a block algebra and its block cohomology are isomorphic, implying positive answers to questions of Pakianathan and Witherspoon in [16] and [17].
Linckelmann, M.
core   +3 more sources

Three-Dimensional Manifolds, Skew-Gorenstein Rings and their Cohomology [PDF]

open access: yes, 2010
Graded skew-commutative rings occur often in practice. Here are two examples: 1) The cohomology ring of a compact three-dimensional manifold. 2) The cohomology ring of the complement of a hyperplane arrangement (the Orlik-Solomon algebra).
Dedicated To Ralf Fröberg   +1 more
core   +2 more sources

Hasse invariant and group cohomology [PDF]

open access: yesDocumenta Mathematica, 2002
Let p be a prime number. The Hasse invariant is a modular form modulo p that is often used to produce congruences between modular forms of different weights.
B. Edixhoven, C. Khare
semanticscholar   +1 more source

Substitutions with Vanishing Rotationally Invariant First Cohomology

open access: yesDiscrete 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

DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS

open access: yesForum of Mathematics, Pi, 2019
We describe a graded extension of the usual Hecke algebra: it acts in a graded fashion on the cohomology of an arithmetic group $\unicode[STIX]{x1D6E4}$.
AKSHAY VENKATESH
doaj   +1 more source

Dickson invariants, regularity and computation in group cohomology [PDF]

open access: yes, 2003
In this paper, we investigate the commutative algebra of the cohomology ring $H^*(G,k)$ of a finite group $G$ over a field $k$. We relate the concept of quasi-regular sequence, introduced by Benson and Carlson, to the local cohomology of the cohomology ...
D. Benson
semanticscholar   +1 more source

COMBABLE GROUPS HAVE GROUP COHOMOLOGY OF POLYNOMIAL GROWTH [PDF]

open access: yes, 2004
Group cohomology of polynomial growth is defined for any finitely generated discrete group, using cochains that have polynomial growth with respect to the word length function.
R. Meyer
semanticscholar   +1 more source

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