Orbifolds and their quantizations as noncommutative geometries

Abstract

Orbifolds are a natural generalization of the concept of a manifold with a rich geometric structure. In particular, its orbifold cohomology has many surprising features, most notably a ring structure [1] generalizing, in a nontrivial way, the cup product on the cohomology of a manifold. As a manifold with singularities, orbifolds can also be viewed as… (More)

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