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

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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.
Typos corrected, better explanations for formula in (6)

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Algebraic Geometry, 14D20, 14H60

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http://salesiana.dossiersoluciones.com/handle/123456789/107548

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601342
 http://arxiv.org/abs/math/0601342

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arXiv