English

Algebraic deformations arising from orbifolds with discrete torsion

K-Theory and Homology 2007-05-23 v2 High Energy Physics - Theory Rings and Algebras

Abstract

We develop methods for computing Hochschild cohomology groups and deformations of crossed product rings. We use these methods to find deformations of a ring associated to a particular orbifold with discrete torsion, and give a presentation of the center of the resulting deformed ring. This connects with earlier calculations by Vafa and Witten of chiral numbers and deformations of a similar orbifold.

Keywords

Cite

@article{arxiv.math/0210027,
  title  = {Algebraic deformations arising from orbifolds with discrete torsion},
  author = {Andrei Caldararu and Anthony Giaquinto and Sarah Witherspoon},
  journal= {arXiv preprint arXiv:math/0210027},
  year   = {2007}
}

Comments

19 pages, LaTeX2e; final version to appear in JPAA

R2 v1 2026-07-22T16:48:05.988Z