Hodge integrals and Hurwitz numbers via virtual localization
Abstract
Ekedahl, Lando, Shapiro, and Vainshtein announced a remarkable formula expressing Hurwitz numbers (counting covers of the projective line with specified simple branch points, and specified branching over one other point) in terms of Hodge integrals. We give a proof of this formula using virtual localization on the moduli space of stable maps, and describe how the proof could be simplified by the proper algebro-geometric definition of a "relative space".
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- March 2000
- DOI:
- 10.48550/arXiv.math/0003028
- arXiv:
- arXiv:math/0003028
- Bibcode:
- 2000math......3028G
- Keywords:
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- Algebraic Geometry;
- 14H10
- E-Print:
- 13 pages, 1 figure