English

Orbifold quantum cohomology of the classifying space of a finite group

Algebraic Geometry 2007-05-23 v2

Abstract

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.

Keywords

Cite

@article{arxiv.math/0112037,
  title  = {Orbifold quantum cohomology of the classifying space of a finite group},
  author = {Tyler J. Jarvis and Takashi Kimura},
  journal= {arXiv preprint arXiv:math/0112037},
  year   = {2007}
}

Comments

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