The Number of Ramified Covering of a Riemann Surface by Riemann Surface |
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Authors: | An-Min Li Guosong Zhao Quan Zheng |
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Affiliation: | Department of Mathematics, Sichuan University, 610064, Chengdu, Sichuan, P.R. China.?E-mail: amli@scu.edu.cn; gszhao@scu.edu.cn, CN
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Abstract: | Interpreting the number of ramified covering of a Riemann surface by Riemann surfaces as the relative Gromov–Witten invariants and applying a gluing formula, we derive a recursive formula for the number of ramified covering of a Riemann surface by Riemann surface with elementary branch points and prescribed ramification type over a special point. Received: 10 June 1999 / Accepted: 7 July 2000 |
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