Equivariant GW Theory of Stacky Curves
Abstract
We extend Okounkov and Pandharipande's work on the equivariant Gromov-Witten theory of to a class of stacky curves . Our main result uses virtual localization and the orbifold ELSV formula to express the tau function as a vacuum expectation on a Fock space. As corollaries, we prove the decomposition conjecture for these , and prove that satisfies a version of the 2-Toda hierarchy. Coupled with degeneration techniques, the result should lead to treatment of general orbifold curves.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- April 2014
- DOI:
- 10.1007/s00220-014-2021-1
- Bibcode:
- 2014CMaPh.327..333J