ORBIFOLD CUP PRODUCTS AND RING STRUCTURES ON HOCHSCHILD COHOMOLOGIES-Reference-Cited by-同舟云学术

ORBIFOLD CUP PRODUCTS AND RING STRUCTURES ON HOCHSCHILD COHOMOLOGIES

Published:2011-02 Issue:01 Volume:13 Page:123-182
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

PFLAUM M. J.¹,POSTHUMA H. B.²,TANG X.³,TSENG H.-H.⁴

Affiliation:

1. Department of Mathematics, University of Colorado, Boulder, CO, USA

2. Korteweg–de Vries Institute for Mathematics, University of Amsterdam, P. O. Box 94248, 1090 GE, Amsterdam, The Netherlands

3. Department of Mathematics, Washington University, St. Louis, MO, USA

4. Department of Mathematics, Ohio State University, Columbus, OH, USA

Abstract

In this paper, we study the Hochschild cohomology ring of convolution algebras associated to orbifolds, as well as their deformation quantizations. In the first case, the ring structure is given in terms of a wedge product on twisted polyvectorfields on the inertia orbifold. After deformation quantization, the ring structure defines a product on the cohomology of the inertia orbifold. We study the relation between this product and an S1-equivariant version of the Chen–Ruan product. In particular, we give a de Rham model for this equivariant orbifold cohomology.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199711004142

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