Johnson, P. orcid.org/0000-0002-6472-3000, Pandharipande, R. and Tseng, H-H. (2011) Abelian Hurwitz-Hodge integrals. The Michigan Mathematical Journal, 60 (1). pp. 171-198. ISSN 0026-2285
Abstract
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
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2011 University of Michigan. This is an author produced version of a paper subsequently published in The Michigan Mathematical Journal. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 13 Jun 2017 10:35 |
Last Modified: | 18 Jul 2017 22:37 |
Published Version: | http://doi.org/10.1307/mmj/1301586310 |
Status: | Published |
Publisher: | University of Michigan |
Refereed: | Yes |
Identification Number: | 10.1307/mmj/1301586310 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:117306 |