Generating functions for Hurwitz-Hodge integrals

• Autores: Renzo Cavalieri
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 218, Nº 5, 2008, págs. 1419-1429
• Idioma: inglés
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• Resumen

  • We describe explicit generating functions for a large class of Hurwitz�Hodge integrals. These are integrals of tautological classes on moduli spaces of admissible covers, a (stackily) smooth compactification of the Hurwitz schemes.

    Admissible covers and their tautological classes are interesting mathematical objects on their own, but recently they have proved to be a useful tool for the study of the tautological ring of the moduli space of curves, and the orbifold Gromov�Witten theory of DM stacks