On the recursion formula for double Hurwitz numbers
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- by Shengmao Zhu
- Proc. Amer. Math. Soc. 140 (2012), 3749-3760
- DOI: https://doi.org/10.1090/S0002-9939-2012-11235-3
- Published electronically: March 12, 2012
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Abstract:
In this paper, we will give a recursion formula for double Hurwitz numbers by the cut-join analysis. This recursion formula can be considered as a generalized version of the recursion formula for simple Hurwitz numbers derived by Mulase and Zhang. As a direct application, we get a polynomial identity for Goulden-Jackson-Vakil’s conjectural intersection numbers and an explicit recursion formula for the computation of these intersection numbers with only $\psi$-classes.References
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Bibliographic Information
- Shengmao Zhu
- Affiliation: Department of Mathematics and Center of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang 310027, People’s Republic of China
- Email: zhushengmao@gmail.com
- Received by editor(s): November 30, 2010
- Received by editor(s) in revised form: April 28, 2011
- Published electronically: March 12, 2012
- Communicated by: Lev Borisov
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 3749-3760
- MSC (2010): Primary 14H10; Secondary 05E05
- DOI: https://doi.org/10.1090/S0002-9939-2012-11235-3
- MathSciNet review: 2944715