Topology Seminar
Date: March 22, 2023
Time: 4:00PM - 5:00PM
Location: BLOC 628
Speaker: Lei Chen, University of Maryland
Title: Mapping class groups of circle bundles over a surface
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. This is joint work with Bena Tshishiku.