Orbifolds and the chiral de Rham complex -- Matthew Szczesny, October 3, 2003

We introduce twisted sectors for the chiral de Rham complex on an orbifold as sheaves of (twisted) vertex algebra modules supported along fixed-point sets. We show how this construction can be used to recover various geometric invariants of the orbifold, such as the Chen-Ruan orbifold cohomology and the orbifold elliptic genus.