Abelian Hurwitz-Hodge integrals
By Pilar Johnson, R. Pandharipande, Hsian-Hua Tseng. 2008
74 citations recorded by the source corpus.
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 representation is faithful, the evaluation is in terms of double Hurwitz numbers. In case G is trivial, the formula specializes to the well-known result of Ekedahl-Lando-Shapiro-Vainshtein for linear Hodge integrals over the moduli space of curves in terms of single Hurwitz numbers
View Paper: https://www.semanticscholar.org/paper/aed60756cb24479a8d8a58cc7f43473dad5b45e5
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- Aaron Pixton
- F. Janda
- Dimitri Zvonkine
- R. Pandharipande
- Davesh Maulik
- A. Okounkov
- Yukinobu Toda
- Y. Kiem
Citations in the corpus
- Double ramification cycles on the moduli spaces of curves (2016, methodology): “We refer the reader to [1, 25] for the definitions of the moduli space of stable maps to (P(1)[r],∞).”