Results 51 to 60 of about 133,631 (232)

A New Cohomology Theory for Orbifold

, 2001
Motivated by orbifold string theory, we introduce orbifold cohomology group for any almost complex orbifold and orbifold Dolbeault cohomology for any complex orbifold.
Baily, Batyrev, Chen, Goresky, Kawasaki, Kawasaki, Li, Satake, Scott, Voisin, Weimin Chen, Yongbin Ruan, Zaslow   +12 more
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Computations of Nambu-Poisson cohomologies

International Journal of Mathematics and Mathematical Sciences, 2001
We want to associate to an n-vector on a manifold of dimension n a cohomology which generalizes the Poisson cohomology of a 2-dimensional Poisson manifold. Two possibilities are given here.
Philippe Monnier
doaj   +1 more source

Tate and Tate-Hochschild Cohomology for finite dimensional Hopf Algebras

, 2013
Let A be any finite dimensional Hopf algebra over a field k. We specify the Tate and Tate-Hochschild cohomology for A and introduce cup products that make them become graded rings. We establish the relationship between these rings.
Nguyen, Van C.
core   +1 more source

Morita cohomology [PDF]

Mathematical Proceedings of the Cambridge Philosophical Society, 2014
AbstractWe consider two categorifications of the cohomology of a topological spaceXby taking coefficients in the category of differential graded categories. We consider both derived global sections of a constant presheaf and singular cohomology and find the resulting dg-categories are quasi-equivalent and moreover quasi-equivalent to representations in
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A remark on singular cohomology and sheaf cohomology

MATHEMATICA SCANDINAVICA, 2022
We prove a comparison isomorphism between singular cohomology and sheaf cohomology.
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On Leibniz cohomology

Journal of Algebra, 2021
Comment: We correct here an error in an earlier ...
Jörg Feldvoss, Friedrich Wagemann
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Dirac cohomology, elliptic representations and endoscopy

, 2015
The first part (Sections 1-6) of this paper is a survey of some of the recent developments in the theory of Dirac cohomology, especially the relationship of Dirac cohomology with (g,K)-cohomology and nilpotent Lie algebra cohomology; the second part ...
A W Knapp, B Boe, B Kostant, B Kostant, B Kostant, C.-P. Dong, C.-P. Dong, D A Vogan Jr, D A Vogan Jr, D A Vogan Jr, D Barbasch, D Ciubotaru, D Renard, D Shelstad, D Shelstad, D Shelstad, D Shelstad, J Adams, J Adams, J Arthur, J Arthur, J Bernstein, J.-P. Labesse, J.-P. Labesse, J.-S Huang, J.-S Huang, J.-S. Huang, J.-S. Huang, J.-S. Huang, J.-S. Huang, J.-S. Huang, N R Wallach, R P Langlands, R P Langlands, R Parthasarathy, S A Salamanca-Riba, S Kumar, S Mehdi, S Mehdi, T Enright, V G Kac   +40 more
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Cohomology of deformations [PDF]

Journal of Topology and Analysis, 2014
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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Alternative formulations of the twistor double copy

Journal of High Energy Physics, 2022
The classical double copy relating exact solutions of biadjoint scalar, gauge and gravity theories continues to receive widespread attention. Recently, a derivation of the exact classical double copy was presented, using ideas from twistor theory, in ...
Erick Chacón, Silvia Nagy, Chris D. White   +2 more
doaj   +1 more source

Integration of simplicial forms and Deligne cohomology

, 2004
We present two approaches to constructing an integration map for smooth Deligne cohomology. The first is defined in the simplicial model, where a class in Deligne cohomology is represented by a simplicial form, and the second in a related but more ...
Deligne Cohomology, Deligne Cohomology, Johan L. Dupont, Johan L. Dupont, Rune Ljungmann, Rune Ljungmann   +5 more
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