Results 21 to 30 of about 138,760 (231)
The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras
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
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Quandle cohomology is a Quillen cohomology [PDF]
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
THE INTEGRAL COHOMOLOGY OF THE HILBERT SCHEME OF TWO POINTS
The Hilbert scheme $X^{[a]}$ of points on a complex manifold $X$
BURT TOTARO
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Cohomology of deformations [PDF]
In this paper we study cohomology of a group with coefficients in representations on Banach spaces and its stability under deformations. We show that small, metric deformations of the representation preserve vanishing of cohomology. As applications we obtain deformation theorems for fixed point properties on Banach spaces.
Uri Bader, Piotr W. Nowak
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CHOW GROUPS, CHOW COHOMOLOGY, AND LINEAR VARIETIES
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
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Cheeger-Simons differential characters with compact support and Pontryagin duality [PDF]
By adapting the Cheeger-Simons approach to differential cohomology, we establish a notion of differential cohomology with compact support. We show that it is functorial with respect to open embeddings and that it fits into a natural diagram of exact ...
Becker, Christian+3 more
core +3 more sources
We define, for a regular scheme $S$ and a given field of characteristic zero $\KK$, the notion of $\KK$-linear mixed Weil cohomology on smooth $S$-schemes by a simple set of properties, mainly: Nisnevich descent, homotopy invariance, stability (which ...
Cisinski, Denis-Charles+1 more
core +4 more sources
A Note on Coeffective 1–Differentiable Cohomology
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
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On the Cohomology of Topological Semigroups
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
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The negative side of cohomology for Calabi-Yau categories [PDF]
We study integer-graded cohomology rings defined over Calabi-Yau categories. We show that the cohomology in negative degree is a trivial extension of the cohomology ring in non-negative degree, provided the latter admits a regular sequence of central ...
Auslander+12 more
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