Gerby Localization, Z₃-Hodge Integrals and the GW Theory of C³/Z₃
classification
🧮 math.AG
keywords
integralsinvariantslocalizationrelationsatiyah-bottcompletelydetermineequivariant
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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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