Generalized Mariño-Vafa Formula and Local Gromov-Witten Theory of Orbi-curves

Details Generalized Mariño-Vafa Formula and Local Gromov-Witten Theory of Orbi-curves Generalized Mariño-Vafa Formula and Local Gromov-Witten Theory of Orbi-curves

2011-09-23

arxiv.org/abs/1109.4992v3

Mathematics

Algebraic Geometry

22 pages

Scientific paper

We prove a generalized Mari\~{n}o-Vafa formula for Hodge integrals over
$\Mbar_{g, \gamma-\mu}(\cB G)$ 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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