Results 31 to 40 of about 133,631 (232)

En–cohomology with coefficients as functor cohomology [PDF]

open access: yesAlgebraic & Geometric Topology, 2016
Building on work of Livernet and Richter, we prove that E_n-homology and E_n-cohomology of a commutative algebra with coefficients in a symmetric bimodule can be interpreted as functor homology and cohomology. Furthermore we show that the associated Yoneda algebra is trivial.
openaire   +3 more sources

Quandle cohomology is a Quillen cohomology [PDF]

open access: yesTransactions of the American Mathematical Society, 2018
Racks and quandles are fundamental algebraic structures related to the topology of knots, braids, and the Yang–Baxter equation. We show that the cohomology groups usually associated with racks and quandles agree with the Quillen cohomology groups for the algebraic theories of racks and quandles, respectively.
openaire   +5 more sources

alpha-type Chevalley-Eilenberg cohomology of Hom-Lie algebras and bialgebras [PDF]

open access: yes, 2019
The purpose of this paper is to define an $\alpha$-type cohomology, which we call $\alpha$-type Chevalley-Eilenberg cohomology, for Hom-Lie algebras.
Hurle, Benedikt, Makhlouf, Abdenacer
core   +2 more sources

L2-Cohomology and group cohomology

open access: yesTopology, 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.
Jeff Cheeger, Mikhael Gromov
openaire   +2 more sources

A Note on Coeffective 1–Differentiable Cohomology

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
After a brief review of some basic notions concerning 1-differentiable cohomology, named here ď-cohomology, we introduce a Lichnerowicz ď– cohomology in a classical way.
Ida Cristian, Mercheşan Sabinşan
doaj   +1 more source

CHOW GROUPS, CHOW COHOMOLOGY, AND LINEAR VARIETIES

open access: yesForum of Mathematics, Sigma, 2014
We compute the Chow groups and the Fulton–MacPherson operational Chow cohomology ring for a class of singular rational varieties including toric varieties.
BURT TOTARO
doaj   +1 more source

Deformations of Yang-Baxter operators via n-Lie algebra cohomology

open access: yesNuclear Physics B, 2023
We introduce a cohomology theory of n-ary self-distributive objects in the tensor category of vector spaces that classifies their infinitesimal deformations.
Mohamed Elhamdadi, Emanuele Zappala
doaj   +1 more source

On the Cohomology of Topological Semigroups

open access: yesCommunications in Advanced Mathematical Sciences, 2019
In this short note, we give some new results on continuous bounded cohomology groups of topological semigroups with values in complex field. We show that the second continuous bounded cohomology group of a compact metrizable semigroup, is a Banach space.
Maysam Maysami Sadr   +1 more
doaj   +1 more source

The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras

open access: yesElectronic Research Archive, 2022
The main purpose of this paper is to provide a full cohomology of a Hom-pre-Lie algebra with coefficients in a given representation. This new type of cohomology exploits strongly the Hom-type structure and fits perfectly with simultaneous deformations of
Shanshan Liu   +2 more
doaj   +1 more source

Motives with modulus, II: Modulus sheaves with transfers for proper modulus pairs [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2021
We develop a theory of sheaves and cohomology on the category of proper modulus pairs. This complements [KMSY21], where a theory of sheaves and cohomology on the category of non-proper modulus pairs has been developed.
Bruno Kahn   +3 more
doaj   +1 more source

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