Geometry and Topology Seminar——Mapping class groups of circle bundles over a surface
报告人：陈蕾（University of Maryland）
时间：2023-12-20 15:10-17:00
地点：智华楼412
Abstract: In this talk, we study the algebraic structure of mapping class group Mod(M) of 3-manifolds M that fiber as a circle bundle over a surface S1 → M → Sg. We prove an exact sequence 1 → H1(Sg) → Mod(M) → Mod(Sg) → 1, relate this to the Birman exact sequence, and determine when this sequence splits. We will also discuss the Nielsen realization problem for such manifolds and give a partial answer. This is joint work with Bena Tshishiku.
