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Homotopy groups of moduli spaces of representations

Steven B. Bradlow·Oscar Garcia-Prada·Peter B. Gothen
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Abstract

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.

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Steven B. Bradlow, Oscar Garcia-Prada, Peter B. Gothen. 2005-06-22. Homotopy groups of moduli spaces of representations. https://doi.org/10.1016/j.top.2007.06.001

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