tt* geometry on the Big Phase Space
Speaker(s): Zhizhong Li (Peking University)
Time: 00:00-00:00 January 2, 2014
Venue: Room 29 at Quan Zhai, BICMR
Time: Thursday, Jan. 2, 2014, 9:30-11:30 am.
Speaker: Zhizhong Li (Peking University)
Venue: Room 29 at Quan Zhai, BICMR
Abstract: I will talk about Liana David and Ian Strachan's paper about the tt* geometry on the Big Phase Space. The following is the abstract of the paper: The big phase space, the geometric setting for the study of quantum cohomology with gravitational descendents, is a complex manifold and consists of an infinite number of copies of the small phase space. The aim of the paper is to define a Hermitian geometry on the big phase space.
The authors lift various geometric structures of the small phase space to the big phase space. The main results is that various notions from tt∗-geometry are preserved under such liftings.