Betti Numbers of parabolic U(2,1)-Higgs bundles moduli spaces |
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| Authors: | Marina Logares |
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| Affiliation: | (1) Departamento de Matemáticas, CSIC, Serrano 121, 28006 Madrid, Spain;(2) Present address: MPIM-BONN, Vivatsgasse 7, Bonn, Germany |
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| Abstract: | Let X be a compact Riemann surface together with a finite set of marked points. We use Morse theoretic techniques to compute the Betti numbers of the parabolic U(2,1)-Higgs bundles moduli spaces over X. We give examples for one marked point showing that the Poincaré polynomials depend on the system of weights of the parabolic bundle. |
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| Keywords: | Parabolic bundles Higgs bundles Moduli spaces Betti numbers |
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