Remodeling conjecture with descendants

Moduli Spaces and Related Topics

Organizers：

Xiang He, Chenglong Yu, Dingxin Zhang, Jie Zhou

Speaker：

Bohan Fang （Peking University)

Time：

Wed., 15:30-16:30

Oct. 23, 2024

Venue：

C654, Shuangqing Complex Building

清华大学双清综合楼A座 C654

Title:

Remodeling conjecture with descendants

Abstract：

For a toric Calabi–Yau threefold, I will explain the correspondence between an equivariant line bundle supported on a toric subvariety and a relative homology cycle on the covering space of the mirror curve. The Laplace transform of the holomorphic Liouville form along this cycle gives genus-zero descendant Gromov–Witten invariants with a certain Gamma class of that bundle. Hence, the Laplace transform of the topological recursion produces all-genus descendant Gromov–Witten invariants with Gamma classes. This talk is based on ongoing joint work with Chiu-Chu Melissa Liu, Song Yu, and Zhengyu Zong.