Results 111 to 120 of about 40,860 (242)
On bounded cohomology of amalgamated products of groups
We investigate the structure of the singular part of the second bounded cohomology group of amalgamated products of groups by constructing an analog of the initial segment of the Mayer-Vietoris exact cohomology sequence for the spaces of pseudocharacters.
Igor V. Erovenko
doaj +1 more source
Topological Information Data Analysis
This paper presents methods that quantify the structure of statistical interactions within a given data set, and were applied in a previous article.
Pierre Baudot+3 more
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Cohomological finiteness conditions for Mackey and cohomological Mackey functors [PDF]
We study cohomological finiteness conditions for groups associated to Mackey and cohomological Mackey functors, proving that the cohomological dimension associated to cohomological Mackey functors is always equal to the $\mathcal{F}$-cohomological dimension, and characterising the conditions Mackey-$\mathrm{FP}_n$ and cohomological Mackey-$\mathrm{FP ...
arxiv
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
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Some Results on the Cohomology of Line Bundles on the Three Dimensional Flag Variety
Let k be an algebraically closed field of prime characteristic and let G be a semisimple, simply connected, linear algebraic group. It is an open problem to find the cohomology of line bundles on the flag variety G / B , where B is a Borel ...
Muhammad Fazeel Anwar
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Weil-etale motivic cohomology [PDF]
We study Weil-etale cohomology, introduced by Lichtenbaum for varieties over finite fields. In the first half of the paper we give an explicit description of the base change from Weil-etale cohomology to etale cohomology. As a consequence, we get a long exact sequence relating Weil-etale cohomology to etale cohomology, show that for finite coefficients
arxiv
Equivariant cohomology and cohomological field theories [PDF]
A general method is given to construct a class of observables in topological field theories.
openaire +2 more sources
Hochschild Cohomology Theories in White Noise Analysis
We show that the continuous Hochschild cohomology and the differential Hochschild cohomology of the Hida test algebra endowed with the normalized Wick product are the same.
Rémi Léandre
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Cohomology and extensions of ordered groupoids [PDF]
We adapt and generalise results of Loganathan on the cohomology of inverse semigroups to the cohomology of ordered groupoids. We then derive a five-term exact sequence in cohomology from an extension of ordered groupoids, and show that this sequence leads to a classification of extensions by a second cohomology group.
arxiv
$L^\infty$ cohomology is intersection cohomology
Let $X$ be any subanalytic compact pseudomanifold. We show a De Rham theorem for $L^\infty$ forms. We prove that the cohomology of $L^\infty$ forms is isomorphic to intersection cohomology in the maximal perversity.
openaire +3 more sources