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

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

2006-01-13

arxiv.org/abs/math/0601342v2

Mathematics

Algebraic Geometry

Typos corrected, better explanations for formula in (6)

Scientific paper

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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