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Homotopy groups of moduli spaces of representations

AutorBradlow, Steven B.; García Prada, Oscar; Gothen, Peter B.
Palabras claveModuli spaces of representations
Homotopy groups
Higgs bundles
Morse theory
Fecha de publicación14-jun-2007
CitaciónarXiv:math/0506444v4
ResumenWe 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.
DescripciónVersion nr. 2 includes improved results for moduli of representations in GL(n,C), provided proof of Proposition 4.13 (4.12 of v1) correcting argument given in earlier paper, other minor corrections. Version nr. 3 contains corrected Remark 4.6 and other minor corrections. [Present] Version nr. 4 includes corrected statements of Proposition 4.17 and Theorems 4.19 and 4.22 (former Theorems 4.18 and 4.20), and is to appear in Topology.
URIhttp://hdl.handle.net/10261/2521
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