Resumen de Gerby localization, Z3-Hodge integrals and the GW theory of [C³/Z3]

Charles Cadman, Renzo Cavalieri

• We exhibit a set of recursive relations that completely determine all equivariant Gromov-Witten invariants of $[{\Bbb C}^3/{\Bbb Z}_3]$. We interpret such invariants as ${\Bbb Z}_3$-Hodge integrals, and produce relations among them via Atiyah-Bott localization on moduli spaces of twisted stable maps to gerbes over~${\Bbb P}^1$.