منابع مشابه
Spaces of surface group representations
Let Γg denote the fundamental group of a closed surface of genus g ≥ 2. We show that every geometric representation of Γg into the group of orientation-preserving homeomorphisms of the circle is rigid, meaning that its deformations form a single semi-conjugacy class. As a consequence, we give a new lower bound on the number of topological components of the space of representations of Γg into Ho...
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In [HL1], we discussed the connected components of the space of surface group representations for any compact connected semisimple Lie group and any closed compact (orientable or nonorientable) surface. In this sequel, we generalize the results in [HL1] in two directions: we consider general compact connected Lie groups, and we consider all compact surfaces, including the ones with boundaries. ...
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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 compon...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2014
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-014-0558-4