On the geometry of orbifold Gromov-Witten invariants

Abstract

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.

15 pages

References in corpus (4)

• Equivariant Gromov-Witten theory of one dimensional stacks
• Gromov-Witten theory of banded gerbes over schemes
• A quantum Leray-Hirsch theorem for banded gerbes
• Double ramification cycles on the moduli spaces of admissible covers

Cited by in corpus (2)

• Orbifold Gromov--Witten theory of weighted blowups
• Mirror theorems for root stacks and relative pairs