Results 101 to 110 of about 138,760 (231)
The Picard group in equivariant homotopy theory via stable module categories
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible G$G$‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category.
Achim Krause
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First and second cohomology group of a bu ndle
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 Let (E, π, M) be a vector bundle. We define two cohomology groups associated to π using the first and second order jet manifolds of this bundle. We prove that one of them is isomorphic with a Čech cohomology group of the base space.
Manea Adelina
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Homological Lie brackets on moduli spaces and pushforward operations in twisted K‐theory
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We develop a general theory of pushforward operations for principal G$G$‐bundles equipped with a certain type of orientation. In the case G=BU(1)$G={B\mathrm{U}(1)}$ and orientations in twisted K‐theory, we construct two pushforward operations, the projective Euler operation, whose existence was conjectured by Joyce, and the projective rank ...
Markus Upmeier
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Hochschild Cohomology Theories in White Noise Analysis
Symmetry, Integrability and Geometry: Methods and Applications, 2008 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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Abelian extensions of Lie triple systems with derivations
Electronic Research Archive, 2022 Let $ \mathfrak{L} $ and $ A $ be Lie triple systems, and let $ \theta_A $ be a representation of $ \mathfrak{L} $ on $ A. $ We first construct the third-order cohomology classes by derivations of $ A $ and $ \mathfrak{L}, $ then obtain a Lie algebra ...
Xueru Wu, Yao Ma, Liangyun Chen
doaj
$L^\infty$ cohomology is intersection cohomology
, 2009 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.
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Note on Complete Cohomology of a Quasi-Frobenius Algebra [PDF]
, 1958 Tadasi Nakayama
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Journal of Pure and Applied Algebra, 2005 AbstractRecently, it was proved by Leedham-Green and others that with a finite number of exceptions, every p-group of coclass r is a quotient of one of only a finite number of p-adic uniserial space groups. In this paper we use that structure to demonstrate that there are only finitely many isomorphism classes of cohomology rings of 2-groups of coclass
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Simple algebras and cohomology groups of arbitrary fields [PDF]
, 1959 S. A. Amitsur
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