Lefschetz-Bott fibrations on line bundles over symplectic manifolds

開催日時: 
2019/01/15 Tue 15:00 - 16:30
場所: 
6号館609号室
講演者: 
大場貴裕
講演者所属: 
数理研
概要: 

A Lefschetz–Bott fibration on a symplectic manifold is a smooth map to a surface with only Lefschetz–Bott critical points, which are modeled on Morse–Bott critical points. As Lefschetz fibrations have played an important role in the study of Stein fillings of contact manifolds, we expect Lefschetz–Bott fibrations to help us understand symplectic fillings of contact manifolds. However, little is known about symplectic manifolds admitting such fibrations. In this talk, we show that (complex) line bundles over some symplectic manifolds admit Lefschetz–Bott fibrations over the complex plane. Moreover using this, we discuss resolutions of some singularities and symplectic fillings of their links.