Global Properties of Topological String Amplitudes and Orbifold Invariants

Details Global Properties of Topological String Amplitudes and Orbifold Invariants Global Properties of Topological String Amplitudes and Orbifold Invariants

2008-09-24

arxiv.org/abs/0809.4253v1

JHEP 1003:113,2010

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 3 figures

Scientific paper

10.1007/JHEP03(2010)113

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.

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