Algebraic deformations arising from orbifolds with discrete torsion

Details Algebraic deformations arising from orbifolds with discrete torsion Algebraic deformations arising from orbifolds with discrete torsion

2002-10-02

arxiv.org/abs/math/0210027v2

Mathematics

K-Theory and Homology

19 pages, LaTeX2e; final version to appear in JPAA

Scientific paper

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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