Back to Algebraic Geometry Seminar: Spring 2018
Algebraic Geometry Seminar
Date: Tuesday, Mar 27, 2018
Time: 3:30PM - 4:30PM
Location: LCB 222
Yefeng Shen
University of Oregon
Title |
LG/CY correspondence for Fermat elliptic curves |
Abstract |
We use holomorphic Cayley transformations of quasi-modular forms to realize a correspondence between Fan-Jarvis-Ruan-Witten invariants of Fermat elliptic polynomials and Gromov-Witten invariants of elliptic curves of all genus. Our key observation is that Belorousski-Pandharipande’s relation on \bar{M}_{2,3} implies the genus one invariants on both GW theory and FJRW theory are governed by the Chazy equation. The modularity follows from the Chazy equation and the initial values in FJRW theory can be calculated by cosection localization. This work is joint with J Li and J Zhou. |
Algebraic Geometry