中科院数学与系统科学研究院
数学研究所
学术报告
几何研讨班
报告人：陈蕾 博士 (University of Maryland)
题 目：Mapping class groups of circle bundles over a surface
时 间：2023.12.22（星期五），09:00-10:00
地 点：数学院南楼N913
摘 要：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.
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