Seminars

Open Gromov-Witten invariants of toric Calabi-Yau 3-folds

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Chiu-Chu Liu

2013-08-05
10:30:00 - 12:00:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)

Open Gromov-Witten invariants count parametrized holomorphic curves in a Kahler manifold with boundaries in a Lagrangian submanifold. We study open Gromov-Witten invariants of toric Calabi-Yau 3-folds with respect to Lagrangian branes of Aganagic-Vafa type. We prove an open mirror theorem which expresses generating functions of holomorphic disk invariants in terms of Abel-Jacobi maps of the mirror curves. This is based on joint work with Bohan Fang.