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arxiv: math/9906053 · v2 · submitted 1999-06-09 · 🧮 math.AG

The number of ramified covering of a Riemann surface by Riemann surface

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keywords riemannsurfacecoveringnumberramifiedformulaapplyingbranch
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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.

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