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Topology of U(2,1) representation spaces

Title
Topology of U(2,1) representation spaces
Type
Article in International Scientific Journal
Year
2002
Journal
Vol. 34
Pages: 729-738
ISSN: 0024-6093
Publisher: Wiley-Blackwell
Other information
Authenticus ID: P-000-MFQ
Abstract (EN): The Betti numbers of moduli spaces of representations of a universal central extension of a surface group in the groups U(2, 1) and S U(2, 1) are calculated. The results are obtained using the identification of these moduli spaces with moduli spaces of Higgs bundles, and Morse theory, following Hitchin's programme. This requires a careful analysis of critical submanifolds, which turn out to have a description using either symmetric products of the surface or moduli spaces of Bradlow pairs.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 10
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