%0 Journal Article %T Orbifold conformal blocks and the stack of pointed G-covers %A Matthew Szczesny %J Mathematics %D 2004 %I arXiv %X 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. %U http://arxiv.org/abs/math/0408123v2