Homotopy groups of moduli spaces of representations

Steven B. Bradlow, Oscar García-Prada, Peter B. Gothen

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)203-224
Number of pages22
Issue number4
StatePublished - Sep 2008


  • Higgs bundles
  • Homotopy groups
  • Moduli spaces of representations
  • Morse theory

ASJC Scopus subject areas

  • Geometry and Topology


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