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Abelian Hurwitz-Hodge integrals

Abelian Hurwitz-Hodge integrals

Hodge classes on the moduli space of admissible covers with monodromy group G are associated to irreducible representations of G.We evaluate all linear Hodge integrals over moduli spaces of admissible covers with abelian monodromy in terms of multiplication in an associated wreath group algebra.In case G is cyclic and the …