Automorphism and isometry groups of Higgs bundle moduli spaces

9 February 2015
David Baraglia

The moduli space of Higgs bundles on a hyperbolic Riemann surface is a complex analytic variety which has a hyperkahler metric on its smooth locus. As such it has several associated symmetry groups including the group of complex analytic automorphisms and the group of isometries. I will discuss the classification of these and some other related groups.

  • Geometry and Analysis Seminar