@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 = "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{\textendash}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{\textendash}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 {\textquotedblleft}Structuring the European Research Area{\textquotedblright} 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",
}