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Home » EGN Open GW seminar: Torus knots, open Gromov-Witten invariants, and topological recursion

Seminar

EGN Open GW seminar: Torus knots, open Gromov-Witten invariants, and topological recursion February 23, 2018 (10:00 AM PST - 11:00 AM PST)
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Location: 748 Evans Hall
Speaker(s) Zhengyu Zong (Tsinghua University)
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Given a torus knot K in S^3, one can construct a Lagrangian L_K in the resolved conifold X under the conifold transition. On the other hand, the pair (X, L_K) corresponds to a mirror curve under mirror symmetry. There exist equivalences between the following three objects: The colored HOMFLY polynomial of K, the all genus open-closed Gromov-Witten theory of (X, L_K), and the topological recursion on the mirror curve. The above equivalences are given by the large N duality, mirror symmetry, and the matrix model for the torus knot respectively. In this talk, I will mainly focus on the mirror symmetry between the open-closed Gromov-Witten theory of (X, L_K) and the topological recursion on the mirror curve. I will also mention the other two equivalences if there is enough time. This talk is based on the paper 1607.01208 joint with Bohan Fang.

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