Gerbes over orbifolds and twisted orbifold Gromov-Witten invariants

Abstract

Given a gerbe with connection on an orbifold, we can construct a holonomy line bundle over the loop space of the orbifold. Its restriction to the space of constant loops (inertia orbifold) is nontrivial but flat. It is actually an inner local system. Furthermore, the pullback of a flat gerbe by an orbifold stable map induces a flat trivialization. We will use the flat trivialization to twist orbifold Gromov-Witten invariants, and then compute these invariants in the case of a smooth manifold and a discrete torsion on a global quotient orbifold.

Date of Award	2005
Original language	English
Awarding Institution	The Hong Kong University of Science and Technology