Framed braids and homotopy groups of three-sphere
演讲者
Vasilii Ionin
时间
2025年10月23日 14:00 至 15:00
地点
A3-4-101
线上
Zoom 928 682 9093
(BIMSA)
摘要
We discuss some fundamental connections between low-dimensional topology and homotopy theory. We give a new simple geometric proof of the Rimvydas Krasauskas' theorem computing the homotopy type of the simplicial group of framed surface braids. This suggests a simplicial model for the Lie group SU(2). Using this, we derive a well-known connection between Brunnian braids and homotopy groups of the 3-sphere, as explored by Fred Cohen, Jie Wu, and others.