Betti numbers of parabolic U(2,1)-Higgs bundles moduli spaces
Algebraic Geometry
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.math/0601342,
title = {Betti numbers of parabolic U(2,1)-Higgs bundles moduli spaces},
author = {Marina Logares},
journal= {arXiv preprint arXiv:math/0601342},
year = {2007}
}
Comments
Typos corrected, better explanations for formula in (6)