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We exhibit a set of recursive relations that completely determine allequivariant Gromov-Witten invariants of the quotient orbifold C^3/Z_3. Weinterpret such invariants as G-Hodge Integrals, and produce relations amongthem via Atiyah-Bott localization on moduli spaces of twisted stable maps togerbes over the projective line.

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