Mod $p$ homology of the classifying space of a gauge group

開催日時: 
2017/10/16 Mon 16:00 - 17:30
場所: 
6号館609号室
講演者: 
岸本大祐
講演者所属: 
京都大学
概要: 

A gauge group of a principal bundle is the topological group of automorphisms of the principal bundle, and its classifying space is homotopy equivalent to the moduli space of connections on the bundle. We will calculate the mod $p$ homology of the classifying space of a gauge group of a principal $\mathrm{SU}(2)$-bundle over $S^4$ and will discuss a generalization of the result.