A hyperkähler metric on the cotangent bundle of a complex reductive group

2 June 2016
16:00
Maxence Mayrand
Abstract

Abstract: A hyperkähler manifold is a Riemannian manifold $(M,g)$ with three complex structures $I,J,K$ satisfying the quaternion relations, i.e. $I^2=J^2=K^2=IJK=-1$, and such that $(M,g)$ is Kähler with respect to each of them. I will describe a construction due to Kronheimer which gives such a structure on the cotangent bundle of any complex reductive group.
 

  • Junior Geometry and Topology Seminar