Surface group representations with maximal Toledo invariant
نویسندگان
چکیده
منابع مشابه
Surface Group Representations with Maximal Toledo Invariant
We develop the theory of maximal representations of the fundamental group π1(Σ) of a compact connected oriented surface Σ with boundary ∂Σ, into the isometry group of a Hermitian symmetric space X or, more generally, a group of Hermitian type G. For any homomorphism ρ : π1(Σ) → G, we define the Toledo invariant T(Σ, ρ), a numerical invariant which is in general not a characteristic number, but ...
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We study representations of compact surface groups on Hermitian symmetric spaces and characterize those with maximal Toledo invariant. To cite this article: M. Burger et al., C. R. Acad. Sci. Paris, Ser. I 336 (2003). 2003 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS. All rights reserved. Résumé Nous étudions les représentations d’un groupe de surface compacte sur un...
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ژورنال
عنوان ژورنال: Annals of Mathematics
سال: 2010
ISSN: 0003-486X
DOI: 10.4007/annals.2010.172.517