Abstract:

Hurwitz-Hodge integrals are integrals of Hodge-type classes on Hurwitz-type loci in moduli spaces of curves which parametrize curves with covering structures. Hurwitz-Hodge integrals may be interpreted as Gromov-Witten invariants of local orbifolds. In this talk we will explain a formula that computes Hurwitz-Hodge integrals in terms of descendant integrals on moduli spaces of stable pointed curves. This formula is a special case of the orbifold quantum Riemann-Roch theorem.