Integral Curve Counting and Applications
发布时间:2024年06月03日
浏览次数:813
发布者: Ruixin Li
主讲人: Guangbo Xu (Rutgers University)
活动时间: 从 2024-06-11 14:00 到 15:00
场地: 北京国际数学研究中心,全斋全29教室
Abstract: (Joint with Shaoyun Bai) I will talk about our recent work on defining integral curve counting invariants for general symplectic manifolds. The original idea was due to Fukaya-Ono using the natural stable complex structure on the moduli spaces. The most important technical ingredient is a rigorous formulation of the transversality condition proposed by Fukaya-Ono for orbifolds. As applications, we defined integer-valued Gromov-Witten invariants and proved the Arnold conjecture over integers.