Gerby Localization, Z_3-Hodge Integrals and the GW Theory of C^3/Z_3
arXiv:0705.2158
Abstract
We exhibit a set of recursive relations that completely determine all equivariant Gromov-Witten invariants of the quotient orbifold C^3/Z_3. We interpret such invariants as G-Hodge Integrals, and produce relations among them via Atiyah-Bott localization on moduli spaces of twisted stable maps to gerbes over the projective line.
arXiv commentAdded a section with system of PDE's encoding the recursions
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Cited by in corpus (8)
- Orbifold Hurwitz numbers and Eynard-Orantin invariants
- Equivariant Gromov-Witten theory of one dimensional stacks
- On the Crepant Resolution Conjecture in the Local Case
- Crepant resolution conjecture in all genera for type A singularities
- On computations of Hurwitz-Hodge integrals
- On the mathematics and physics of high genus invariants of [C^3/Z_3]
- Wall-Crossings in Toric Gromov-Witten Theory II: Local Examples
- Virasoro constraints and descendant Hurwitz-Hodge Integrals