@article{e5b8d1a938414c8ea04d51c8cbdfc837,
title = "Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces",
abstract = "Higgs bundles and non-abelian Hodge theory provide holomorphic methods with which to study the moduli spaces of surface group representations in a reductive Lie group G. In this paper we survey the case in which G is the isometry group of a classical Hermitian symmetric space of non-compact type. Using Morse theory on the moduli spaces of Higgs bundles, we compute the number of connected components of the moduli space of representations with maximal Toledo invariant.",
keywords = "Hermitian symmetric spaces, Higgs bundles",
author = "Bradlow, {Steven B.} and Oscar Garc{\'i}a-Prada and Gothen, {Peter B.}",
note = "Funding Information: Members of VBAC (Vector Bundles on Algebraic Curves). 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 HP2002-0017 (Spain)/E–30/03 (Portugal). First and Second authors partially supported by Ministerio de Educaci{\'o}n y Ciencia (Spain) through Project MTM2004-07090-C03-01. 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. The second author visited the IHES with the partial support of the European Commission through its 6th Framework Programme “Structuring the European Research Area” and the Contract No. RITA-CT-2004-505493 for the provision of Transnational Access implemented as Specific Support Action",
year = "2006",
month = oct,
doi = "10.1007/s10711-007-9127-y",
language = "English (US)",
volume = "122",
pages = "185--213",
journal = "Geometriae Dedicata",
issn = "0046-5755",
publisher = "Springer Netherlands",
number = "1",
}