Gerby Localization, Z_3-Hodge Integrals and the GW Theory of C^3/Z_3

Details Gerby Localization, Z_3-Hodge Integrals and the GW Theory of C^3/Z_3 Gerby Localization, Z_3-Hodge Integrals and the GW Theory of C^3/Z_3

2007-05-15

arxiv.org/abs/0705.2158v3

Mathematics

Algebraic Geometry

Added a section with system of PDE's encoding the recursions

Scientific paper

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.

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