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CONNECTEDNESS OF THE MODULI OF Sp(2p, 2q)-HIGGS BUNDLES

Title
CONNECTEDNESS OF THE MODULI OF Sp(2p, 2q)-HIGGS BUNDLES
Type
Article in International Scientific Journal
Year
2014
Authors
Garcia Prada, O
(Author)
Other
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Oliveira, AG
(Author)
FCUP
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Journal
Vol. 65
Pages: 931-956
ISSN: 0033-5606
Other information
Authenticus ID: P-009-T9E
Abstract (EN): Using the Morse-theoretic techniques introduced by Hitchin, we prove that the moduli space of Sp(2p, 2q)-Higgs bundles over a compact Riemann surface of genus g >= 2 is connected. In particular, this implies that the moduli space of representations of the fundamental group of the surface in Sp(2p, 2q) is connected.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 26
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