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Article overview
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Homotopy groups of moduli spaces of representations | Steven B. Bradlow
; Oscar Garcia-Prada
; Peter B. Gothen
; | Date: |
22 Jun 2005 | Subject: | Algebraic Geometry; Differential Geometry MSC-class: 14H60; 57R57, 58D29 | math.AG math.DG | Affiliation: | University of Illinois), Oscar Garcia-Prada (CSIC, Madrid), Peter B. Gothen (Universidade do Porto | 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. | Source: | arXiv, math.AG/0506444 | Services: | Forum | Review | PDF | Favorites |
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