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Betti numbers of parabolic U(2,1)-Higgs bundles moduli spaces

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 نشر من قبل Marina Logares
 تاريخ النشر 2006
  مجال البحث
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 تأليف Marina Logares




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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 Poincare polynomials depend on the system of weights of the parabolic bundle.

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