Abstract (EN):
We calculate certain homotopy groups of the moduli spaces for representations of a compact oriented surface in the Lie groups GL(n, C) and U(p, q). Our approach relies on the interpretation of these representations in terms of Higgs bundles and uses Bott-Morse theory on the corresponding moduli spaces.
Language:
English
Type (Professor's evaluation):
Scientific
Contact:
bradlow@math.uiuc.edu; oscar.garcia-prada@uam.es; pbgothen@fc.up.pt
No. of pages:
22