3F Meeting Room, Department of Mathematics, NCKU
(成功大學數學系 3樓會議室)
Feynman Structures in Gromov Witten Theory
Huai-Liang Chang (The Hong Kong University of Science and Technology)
Abstract:
For compact CY 3fold, such as the quintic 3fold, the math study of higher genus GW potentials Fg has been open for over two decades.
Recently, we prove quintic's Fg's are analytic functions, satisfy Yamaguchi-Yau finite generation conjecture(2004), and BCOV Feynman graph conjecture(1993). This determines the infinite series Fg up to 3g-3 unknowns. For example we recover F1 and obtain F2 completely.
Our approach is packaging "N-Mixed-Spin-P fields" (NMSP) moduli for large N. This is a joint work with Shuai Guo and Jun Li.
