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Bounded Cohomology and Geometry

Anna Wienhard
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Abstract

This work deals with relations between a bounded cohomological invariant and the geometry of Hermitian symmetric spaces of noncompact type. The invariant, obtained from the Kähler class, is used to define and characterize a special class of totally geodesic embeddings, called "tight embeddings". In addition, special isometric actions of finitely generated groups on Hermitian symmetric spaces are studied. Results of a joint work with M. Burger and A. Iozzi about surface group representations are also discussed.

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Anna Wienhard. 2005-01-17. Bounded Cohomology and Geometry. https://arxiv.org/abs/math/0501258

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