Construction of symplectic field theory and smoothness of Kuranishi structure

開催日時: 
2019/06/19 Wed 16:30 - 17:30
場所: 
RIMS110号室
講演者: 
石川 卓
講演者所属: 
京大・数理研
概要: 

Symplectic field theory (SFT) is a generalization of Gromov-Witten invariant and Floer homology for contact maniflods and symplectic cobordisms between them. It was introduced by Eliashberg, Givental and Hofer around 2000, and its algebraic structure was well studied by them. However, for a long time, it was a difficult problem to construct SFT by counting pseudoholomorphic curves.
Recently, I succeeded in its construction by using Kuranishi theory, a theory developed by Fukaya and Ono for the construction of Gromov-Witten inavriant and Floer homology for general symplectic manifolds. In this talk, I explain about this work. Especially, I will talk about smoothness of Kuranishi structure.