Results 81 to 90 of about 6,115 (235)
HILBERT STRATIFOLDS AND A QUILLEN TYPE GEOMETRIC DESCRIPTION OF COHOMOLOGY FOR HILBERT MANIFOLDS
Forum of Mathematics, Sigma, 2018 In this paper we use tools from differential topology to give a geometric description of cohomology for Hilbert manifolds. Our model is Quillen’s geometric description of cobordism groups for finite-dimensional smooth manifolds [Quillen, ‘Elementary ...
MATTHIAS KRECK, HAGGAI TENE
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Poisson and Hochschild cohomology and the semiclassical limit [PDF]
, 2013 Let $B$ be a quantum algebra possessing a semiclassical limit $A$. We show that under certain hypotheses $B^e$ can be thought of as a deformation of the Poisson enveloping algebra of $A$, and we give a criterion for the Hochschild cohomology of $B$ to
Towers, Matthew
core
Some non-amenable groups [PDF]
, 2012 We generalize a result of R.
G. A. Niblo +5 more
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Algebraicity of ratios of special L$L$‐values for GL(n)$\mathrm{GL}(n)$
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We prove, under certain assumptions, the algebraicity of the ratio L(m,Π×χ)/L(m,Π×χ′)$L(m, \Pi \times \chi)/L(m, \Pi \times \chi ^{\prime })$, where Π$\Pi$ is a cuspidal automorphic cohomological unitary representation of GLn(AQ)$\mathrm{GL}_n(\mathbb {A}_\mathbb {Q})$, and χ$\chi$, χ′$\chi ^{\prime }$ are finite‐order Hecke characters such ...
Ankit Rai, Gunja Sachdeva
wiley +1 more source
The geometric meaning of Zhelobenko operators [PDF]
, 2014 Peer ...
Sevastyanov, A.
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On cohomology isomorphisms of groups
Journal of Algebra, 2007 The author proves the following theorem for a wide class of groups including finite groups, compact Lie groups, groups of finite virtual cohomological dimension over \(\mathbb{F}_p\) and profinite groups. Theorem. Let \(f\colon H\to G\) be a homomorphism such that the induced map \(f^*\colon H^*(G;\mathbb{F}_p)\to H^*(H;\mathbb{F}_p)\) is an ...
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The Lp$L^p$‐diameter of the space of contractible loops
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We prove that the space of contractible simple loops of a given fixed area in any compact oriented surface has infinite diameter as a homogeneous space of the group of area‐preserving diffeomorphisms endowed with the Lp$L^p$‐metric. As a special case, this resolves the Lp$L^p$‐metric analog of the well‐known question in symplectic topology ...
Michael Brandenbursky, Egor Shelukhin
wiley +1 more source
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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Cohomology of Presheaves of Monoids
Mathematics, 2020 The purpose of this work is to extend Leech cohomology for monoids (and so Eilenberg-Mac Lane cohomology of groups) to presheaves of monoids on an arbitrary small category.
Pilar Carrasco, Antonio M. Cegarra
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The cohomology of Bestvina–Brady groups
Groups, Geometry, and Dynamics, 2011 For each subcomplex of the standard CW-structure on any torus, we compute the homology of a certain infinite cyclic regular covering space. In all cases when the homology is finitely generated, we also compute the cohomology ring. For aspherical subcomplexes of the torus, our computation gives the homology of the groups introduced by M. Bestvina and N.
Ian J. Leary, Müge Saadetoğlu
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