Orbifold quantum cohomology of the classifying space of a finite group

Mathematics – Algebraic Geometry

Scientific paper

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For the Proceedings of the ``Mathematical Aspects of Orbifold String Theory'' conference in Madison, Wisconsin, May, 2001

Scientific paper

We work through, in detail, the orbifold quantum cohomology, with gravitational descendants, of the stack BG, the point modulo trivial action of a finite group G. We provide a simple description of algebraic structures on the state space of this theory. As a consequence, we find that multiple copies of commuting Virasoro algebras appear in this theory which completely determine the correlators of the theory.

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