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Orbifold conformal blocks and the stack of pointed G-covers

Matthew Szczesny
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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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Matthew Szczesny. 2004-08-11. Orbifold conformal blocks and the stack of pointed G-covers. https://arxiv.org/abs/math/0408123

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