Title: Instantons via hypersurface evolution
2014.08.28 |
| Date | Tue 02 Sep |
| Time | 15:45 — 16:45 |
| Location | Koll. G4 |
Abstract:
Abstract: The notion of an instanton in four dimensions can be generalized when one considers the curvature as taking values in a
general Lie algebra g=Lie(G) rather than su(2).
This talk will discuss ways of constructing instantons for the cases when G=SU(2), G_2, and Spin(7). We use known constructions of special
holonomy metrics, via hypersurface evolution, and then explain how one can simultaneously evolve a connection on the initial hypersurface so
as to get an instanton related to SU(2), G_2 or Spin(7), depending on the initial hypersurface.
This is joint work, in progress, with Jason Lotay.
