Open Gromov-Witten invariants and mirror maps for semi-Fano toric manifolds

Details Open Gromov-Witten invariants and mirror maps for semi-Fano toric manifolds Open Gromov-Witten invariants and mirror maps for semi-Fano toric manifolds

2011-12-02

arxiv.org/abs/1112.0388v1

Mathematics

Symplectic Geometry

32 pages, 1 figure

Scientific paper

We prove that for a compact toric manifold whose anti-canonical divisor is
numerically effective, the potential function defined by Fukaya-Oh-Ohta-Ono is
equal to the superpotential written down by using toric mirror map under a
convergence assumption. This gives a method to compute open Gromov-Witten
invariants using mirror symmetry.

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