On the geometry of orbifold Gromov-Witten invariants

Hsian-Hua Tseng

Published 2017-03-27Version 1

We consider the question of how geometric structures of a Deligne-Mumford stack affect its Gromov-Witten invariants. The two geometric structures studied here are {\em gerbes} and {\em root constructions}. In both cases, we explain conjectures on Gromov-Witten theory for these stacks and survey some recent progress on these conjectures.