Algebraic deformations arising from orbifolds with discrete torsion
Andrei Caldararu, Anthony Giaquinto, Sarah Witherspoon
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.
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