Orbifold conformal blocks and the stack of pointed G-covers
Algebraic Geometry
2007-05-23 v2 Quantum Algebra
Abstract
Starting with a vertex algebra , a finite group of automorphisms of , and a suitable collection of twisted --modules, we construct (twisted) --modules on the stack of pointed --covers, introduced by Jarvis, Kaufmann, and Kimura. The fibers of these sheaves are spaces of orbifold conformal blocks defined in joint work with Edward Frenkel. The key ingredient is a --equivariant version of the Virasoro uniformization theorem.
Cite
@article{arxiv.math/0408123,
title = {Orbifold conformal blocks and the stack of pointed G-covers},
author = {Matthew Szczesny},
journal= {arXiv preprint arXiv:math/0408123},
year = {2007}
}