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

Mathematics – Algebraic Geometry

Scientific paper

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LaTex, 14 pages

Scientific paper

10.1007/s002200000254

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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