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arXiv:math/0411242 [math.AG]AbstractReferencesReviewsResources

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

O. García-Prada, P. B. Gothen, V. Muñoz

Published 2004-11-10, updated 2005-06-01Version 3

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.

Comments: 78 pages. Extended version. Added a section with the fixed determinant case. To appear in Memoirs of the AMS
Categories: math.AG, math.DG
Subjects: 14D20, 14H60
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