Speaker: Prof. Yi Xie , Peking University       

Title: On the mapping class groups of 4-manifolds with 1-handles

Language: Chinese 

Time & Venue: 2024.11.20  16:30-17:30  MCM410

Abstract: Budney and Gabai proved that the mapping class group of the product of a circle and a 3-dimensional disk is an abelian group of infinite rank. Their proof relies on an invariant defined using the configuration spaces of ordered points. In this talk, we will generalize Budney-Gabai's invariant and use it to demonstrate that the mapping class groups of certain 4-manifolds with 1-handles contain infinite rank subgroups. This is joint work with Jianfeng Lin and Boyu Zhang.