Symplectic Orbifold Gromov-Witten Invariants

Chen and Ruan constructed symplectic orbifold Gromov-Witten invariants more than 20 years ago.  In ongoing work with Alex Ritter, we show that moduli spaces of pseudo-holomorphic curves mapping to a symplectic orbifold admit global Kuranishi charts. This allows us to construct other types of Gromov-Witten invariants, such as K-theoretic counts. The construction relies on an orbifold embedding theorem of Ross and Thomas.



Stony Brook University