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Homotopy groups of moduli spaces of representations |
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| Authors: | Steven B. Bradlow,Oscar Garcí a-Prada,Peter B. Gothen |
| Affiliation: | a Department of Mathematics, University of Illinois, Urbana, IL 61801, USA b Instituto de Matemáticas, CSIC, Serrano 121, 28006 Madrid, Spain c Departamento de Matemática Pura, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal |
| Abstract: | We calculate certain homotopy groups of the moduli spaces for representations of a compact oriented surface in the Lie groups  and  . Our approach relies on the interpretation of these representations in terms of Higgs bundles and uses Bott-Morse theory on the corresponding moduli spaces. |
| Keywords: | primary, 14H60 secondary, 57R57, 58D29 |
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