Global Properties of Topological String Amplitudes and Orbifold Invariants
High Energy Physics - Theory
2011-02-25 v1 Algebraic Geometry
Abstract
We derive topological string amplitudes on local Calabi-Yau manifolds in terms of polynomials in finitely many generators of special functions. These objects are defined globally in the moduli space and lead to a description of mirror symmetry at any point in the moduli space. Holomorphic ambiguities of the anomaly equations are fixed by global information obtained from boundary conditions at few special divisors in the moduli space. As an illustration we compute higher genus orbifold Gromov-Witten invariants for C^3/Z_3 and C^3/Z_4.
Keywords
Cite
@article{arxiv.0809.4253,
title = {Global Properties of Topological String Amplitudes and Orbifold Invariants},
author = {M. Alim and J. D. Laenge and P. Mayr},
journal= {arXiv preprint arXiv:0809.4253},
year = {2011}
}
Comments
34 pages, 3 figures