Results 31 to 40 of about 12,740,858 (240)
A cocycle model for topological and Lie group cohomology [PDF]
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 $\overline {\mathcal {M}}_{g,n}$
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]
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]
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]
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]
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
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
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]
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]
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

