Orbifold conformal blocks and the stack of pointed G-covers
Matthew Szczesny
Abstract
Starting with a vertex algebra V, a finite group G of automorphisms of V, and a suitable collection of twisted V--modules, we construct (twisted) D--modules on the stack of pointed G--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 G--equivariant version of the Virasoro uniformization theorem.
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