Results 21 to 30 of about 32,391 (228)

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

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.
Cheeger, Jeff, Gromov, Mikhael
openaire   +1 more source

Fredholm modules over categories, Connes periodicity and classes in cyclic cohomology

open access: yesComptes Rendus. Mathématique, 2023
We replace a ring with a small $\mathbb{C}$-linear category $\mathcal{C}$, seen as a ring with several objects in the sense of Mitchell. We introduce Fredholm modules over this category and construct a Chern character taking values in the cyclic ...
Balodi, Mamta, Banerjee, Abhishek
doaj   +1 more source

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

A remark on singular cohomology and sheaf cohomology

open access: yesMATHEMATICA SCANDINAVICA, 2022
We prove a comparison isomorphism between singular cohomology and sheaf cohomology.
openaire   +2 more sources

Quantum cohomology of the odd symplectic Grassmannian of lines [PDF]

open access: yes, 2013
Odd symplectic Grassmannians are a generalization of symplectic Grassmannians to odd-dimensional spaces. Here we compute the classical and quantum cohomology of the odd symplectic Grassmannian of lines.
Pech, Clelia
core   +1 more source

Stable rational cohomology of automorphism groups of free groups and the integral cohomology of moduli spaces of graphs [PDF]

open access: yes, 2002
It is not known whether or not the stable rational cohomology groups H*(Aut(F[infinity]);Q) always vanish (see Hatcher in [5] and Hatcher and Vogtmann in [7] where they pose the question and show that it does vanish in the first 6 dimensions).
Jensen, Craig A., C. A. Jensen
core   +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

Cyclic cohomology after the excision theorem of Cuntz and Quillen [PDF]

open access: yes, 2013
The excision theorem of Cuntz and Quillen established the existence of a six term exact sequence in the bivariant periodic cyclic cohomology HP*(–,–) associated with an arbitrary algebra extension 0 ? S ? P ? Q ? 0.
Jacek Brodzki, Brodzki, Jacek
core   +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

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