Results 21 to 30 of about 31,583 (180)

Equivariant cohomology over Lie groupoids and Lie-Rinehart algebras [PDF]

, 2009
Using the language and terminology of relative homological algebra, in particular that of derived functors, we introduce equivariant cohomology over a general Lie-Rinehart algebra and equivariant de Rham cohomology over a locally trivial Lie groupoid in ...
A. Dold, A. Weinstein, A.K. Seda, G. Hochschild, G. Hochschild, G. Rinehart, G.B. Segal, I. Moerdijk, J. Huebschmann, J. Huebschmann, J. Huebschmann, J. Huebschmann, J. Huebschmann, J. Huebschmann, J.D. Stasheff, J.L. Dupont, Johannes Huebschmann, K. Behrend, K.A. Mackenzie, K.C.H. Mackenzie, K.C.H. Mackenzie, M. Crainic, M.F. Atiyah, P.J. Higgins, P.J. Higgins, P.J. Hilton, R. Almeida, R. Almeida, R. Bott, R. Bott, S. Mac Lane, S. MacLane, U. Bruzzo, W.T. Van Est   +33 more
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Equivariant Lie–Rinehart cohomology; pp. 294–300 [PDF]

Proceedings of the Estonian Academy of Sciences, 2010
In this paper we study Lie–Rinehart cohomology for quotients of singularities by finite groups, and interpret these cohomology groups in terms of integrable connection on modules.
Eivind Eriksen, Trond Stølen Gustavsen
doaj   +1 more source

GLSMs for exotic Grassmannians

Journal of High Energy Physics, 2020
In this paper we explore nonabelian gauged linear sigma models (GLSMs) for symplectic and orthogonal Grassmannians and flag manifolds, checking e.g.
Wei Gu, Eric Sharpe, Hao Zou
doaj   +1 more source

Sistemas de Cartan-Eilenberg en K-teoría Equivariante Torcida

Selecciones Matemáticas, 2020
The goal of this paper is to show explicitly the construction of a Cartan-Eilenberg system for the twisted equivariant K-theory groups of a finite G-CW complex, with G a finite group.
Jesús F. Espinoza, Rafael R. Ramos
doaj   +1 more source

Representations on Hessenberg Varieties and Young's Rule [PDF]

Discrete Mathematics & Theoretical Computer Science, 2011
We combinatorially construct the complex cohomology (equivariant and ordinary) of a family of algebraic varieties called regular semisimple Hessenberg varieties. This construction is purely in terms of the Bruhat order on the symmetric group. From this a
Nicholas Teff
doaj   +1 more source

Equivariant bundles and cohomology [PDF]

Transactions of the American Mathematical Society, 1986
Let G G be a topological group, A A an abelian topological group on which G G acts continuously and X X a G G -space. We define "equivariant cohomology groups" of X X with coefficients in A A , H G
openaire   +1 more source

3d N $$ \mathcal{N} $$ = 2 Chern-Simons-matter theory, Bethe ansatz, and quantum K -theory of Grassmannians

Journal of High Energy Physics, 2020
We study a correspondence between 3d N $$ \mathcal{N} $$ = 2 topologically twisted Chern-Simons-matter theories on S 1 × Σg and quantum K -theory of Grassmannians.
Kazushi Ueda, Yutaka Yoshida
doaj   +1 more source

BPS states meet generalized cohomology

Journal of High Energy Physics, 2023
In this note we review a construction of a BPS Hilbert space in an effective supersymmetric quiver theory with 4 supercharges. We argue abstractly that this space contains elements of an equivariant generalized cohomology theory E G ∗ − $$ {E}_G^{\ast ...
Dmitry Galakhov
doaj   +1 more source

Koszul duality and equivariant cohomology for tori [PDF]

, 2003
Let T be a torus. We show that Koszul duality can be used to compute the equivariant cohomology of topological T-spaces as well as the cohomology of pull backs of the universal T-bundle.
Franz, Matthias
core   +1 more source

HIGHER GENUS GROMOV–WITTEN THEORY OF $\mathsf{Hilb}^{n}(\mathbb{C}^{2})$ AND $\mathsf{CohFTs}$ ASSOCIATED TO LOCAL CURVES

Forum of Mathematics, Pi, 2019
We study the higher genus equivariant Gromov–Witten theory of the Hilbert scheme of $n$ points of $\mathbb{C}^{2}$. Since the equivariant quantum cohomology, computed by Okounkov and Pandharipande [Invent. Math.
RAHUL PANDHARIPANDE, HSIAN-HUA TSENG
doaj   +1 more source