Construction of the Kuranishi Structure on the Moduli Space of Pseudo-Holomorphic Curves

Construction of the Kuranishi Structure on the Moduli Space of Pseudo-Holomorphic... - Kenji Fukaya

Kenji Fukaya
Simons Center for Geometry and Physics
April 12, 2013

To apply the technique of virtual fundamental cycle (chain) in the study of pseudo-holomorphic curve, we need to construct certain structure, which we call Kuranishi strucuture, on its moduli space. In this talk I want to review certain points of its construction.