Lecture Series on Kuranishi Structures

Kenji Fukaya

In this week I will explain the notion of coordinate change of Kuranishi charts and the way to obtain coordinate change in the case case of the moduli space of stable maps. If time allows I will explain the notion of Kuranishi structure (that is a system of Kuranishi charts together with coordinate changes) and good coordinate system. (I postpone the explanation of the proof of the existence of Kuranishi chart at the nodal curve (which I stated on 21st) to some other week and explain first the notion of coordinate change.)

http://scgp.stonybrook.edu/video_portal/video.php?id=1568

Simons- Program: Moduli Spaces of Pseudo-holomorphic curves and their applications to Symplectic Topology