Generalized Mari\~no-Vafa Formula and Local Gromov-Witten Theory of Orbi-curves

Abstract

We prove a generalized Mari\~no-Vafa formula for Hodge integrals over g, γ-μ( G) with G an arbitrary finite abelian group. Then we use this formula to study the local Gromov-Witten theory of an orbi-curve with cyclic stack points in a Calabi-Yau three-orbifold.

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