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Betti numbers of the moduli space of rank 3 parabolic Higgs bundles

O. García-Prada·P. B. Gothen·V. Muñoz
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Abstract

We compute the Betti numbers of the moduli space of rank 3 parabolic Higgs bundles, using Morse theory. A key point is that certain critical submanifolds of the Morse function can be identified with moduli spaces of parabolic triples. These moduli spaces come in families depending on a real parameter and we study their variation with this parameter.

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O. García-Prada, P. B. Gothen, V. Muñoz. 2004-11-10. Betti numbers of the moduli space of rank 3 parabolic Higgs bundles. https://arxiv.org/abs/math/0411242

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