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

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

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Marina Logares. 2006-01-18. Betti numbers of parabolic U(2,1)-Higgs bundles moduli spaces. https://arxiv.org/abs/math/0601342

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