Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces

• Type: Article in International Scientific Journal
• Date: 2006

Authors

Steven B Bradlow (Author) Other; Oscar Garcia Prada (Author) Other; Peter B Gothen (Author) FCUP

Journal

Title: Geometriae Dedicata

Vol. 122

Pages: 185-213

ISSN: 0046-5755

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 49 Citations

Scopus - 57 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-004-GTC

DOI: 10.1007/s10711-007-9127-y

Abstract (EN): 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

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 29