Topology of U(2,1) representation spaces

• Type: Article in International Scientific Journal
• Date: 2002

Authors

Gothen, PB (Author) FCUP

Journal

Title: Bulletin of the London Mathematical Society

Vol. 34

Pages: 729-738

ISSN: 0024-6093

Publisher: Wiley-Blackwell

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 6 Citations

Other information

Authenticus ID: P-000-MFQ

DOI: 10.1112/s0024609301001364

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