@article{5ab06cef88914b4d87e83e85f103e56e,
title = "Homotopy groups of moduli spaces of representations",
abstract = "We calculate certain homotopy groups of the moduli spaces for representations of a compact oriented surface in the Lie groups GL (n, C) and U (p, q). Our approach relies on the interpretation of these representations in terms of Higgs bundles and uses Bott-Morse theory on the corresponding moduli spaces.",
keywords = "Higgs bundles, Homotopy groups, Moduli spaces of representations, Morse theory",
author = "Bradlow, {Steven B.} and Oscar Garc{\'i}a-Prada and Gothen, {Peter B.}",
note = "Funding Information: The second and third authors partially supported by Ministerio de Educaci{\'o}n y Ciencia and Conselho de Reitores das Universidades Portuguesas through Acci{\'o}n Integrada Hispano-Lusa HP-2000-0015 (Spain)/E–30/03 (Portugal). Second author partially supported by Ministerio de Educaci{\'o}n y Ciencia (Spain) through Project BFM2000-0024. Third author partially supported by the Centro de Matem{\'a}tica da Universidade do Porto and the project POCTI/MAT/58549/2004, financed by FCT (Portugal) through the programmes POCTI and POSI of the QCA III (2000–2006) with European Community (FEDER) and national funds.",
year = "2008",
month = sep,
doi = "10.1016/j.top.2007.06.001",
language = "English (US)",
volume = "47",
pages = "203--224",
journal = "Topology",
issn = "0040-9383",
publisher = "Elsevier Ltd",
number = "4",
}