Conditions for the vanishing of the genus-2 G-function
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- by Xiaobo Liu and Xin Wang PDF
- Trans. Amer. Math. Soc. 367 (2015), 8975-8996 Request permission
Abstract:
In this paper we give some sufficient conditions for the vanishing of the genus-2 G-function, which was introduced by B. Dubrovin, S. Liu and Y. Zhang in 2012. As a corollary we prove their conjecture for the vanishing of the genus-2 G-function for ADE singularities.References
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Additional Information
- Xiaobo Liu
- Affiliation: Beijing International Center for Mathematical Research, Beijing University, Beijing, People’s Republic of China – and – Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
- Email: xbliu@math.pku.edu.cn, xliu3@nd.edu
- Xin Wang
- Affiliation: School of Mathematical Sciences, Beijing University, Beijing, People’s Republic of China
- Email: xinwang-1989@163.com
- Received by editor(s): December 5, 2013
- Received by editor(s) in revised form: June 9, 2014
- Published electronically: February 20, 2015
- Additional Notes: The research of the first author was partially supported by NSF grant DMS-0905227, NSFC Tianyuan special fund 11226027, SRFDP grant 20120001110051, and Peking University 985 fund.
The research of the second author was partially supported by SRFDP grant 20120001110051. - © Copyright 2015 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 367 (2015), 8975-8996
- MSC (2010): Primary 53D45; Secondary 14N35
- DOI: https://doi.org/10.1090/S0002-9947-2015-06540-4
- MathSciNet review: 3403077