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

Abstract

We prove a generalized Mariño-Vafa formula for Hodge integrals over $\Mbar_{g, γ-μ}(\cB G)$ 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.

30 pages. arXiv admin note: text overlap with arXiv:math/0306434 by other authors

References in corpus (2)

• Localization in Gromov-Witten Theory and Orbifold Gromov-Witten Theory
• Equivariant Gromov-Witten theory of one dimensional stacks

Cited by in corpus (5)

• All Genus Open-Closed Mirror Symmetry for Affine Toric Calabi-Yau 3-Orbifolds
• The SYZ mirror symmetry and the BKMP remodeling conjecture
• Relative Orbifold Donaldson-Thomas Theory and the Degeneration Formula
• Localization and Gluing of Orbifold Amplitudes: The Gromov-Witten Orbifold Vertex
• Cyclic Hodge Integrals and Loop Schur Functions