On aspherical symplectic fillings of the prequantization bundles

Date: 
Monday, 27 May, 2024 - 10:30 - 11:30
Venue: 
LSB 219
Speaker Name: 
Prof. Guanheng CHEN
Affiliation: 
Shenzhen University
Abstract: 

A prequantization bundle is a negative circle bundle over a symplectic surface, together with a contact form induced by an S1-invariant connection. In this talk, I will present a result concerning the diffeomorphism type of the symplectic fillings of a prequantization bundle, under certain topological and symplectic assumptions. I will explain how to adapt D. McDuff's methods to our situation and discuss the contributions from linearized contact homology.