Ends of the moduli space of Higgs bundles

26 January 2015
14:15
Frederik Witt
Abstract

Hitchin's existence theorem asserts that a stable Higgs bundle of rank two carries a unitary connection satisfying Hitchin's self-duality equation. In this talk we discuss a new proof, via gluing methods, for
elements in the ends of the Higgs bundle moduli space and identify a dense open subset of the boundary of the compactification of this moduli space.
 

  • Geometry and Analysis Seminar