The \(\omega\)-Borel invariant for representations into \(\text{SL}(n,\mathbb{C}_\omega)\)

DOI10.4171/GGD/511zbMath1431.57036arXiv1709.07660OpenAlexW2757104410MaRDI QIDQ2327666

Alessio Savini

Publication date: 15 October 2019

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.07660

zbMATH Keywords

latticeasymptotic conecharacter varietyBorel invariant

Mathematics Subject Classification ID

Homology and cohomology of Lie groups (57T10) Differential geometry of symmetric spaces (53C35)

Cites Work

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• Compactifications of representation spaces of finitely generated groups
• Varieties of group representations and splittings of 3-manifolds
• On the equivalence of the definitions of volume of representations
• Valuations, trees, and degenerations of hyperbolic structures. I
• Degenerations of the hyperbolic space
• Topologie de Gromov équivariante, structures hyperboliques et arbres réels. (Equivariant Gromov topology, hyperbolic structures, and \({\mathbb{R}}\)-trees)
• Cyclic surgery, degrees of maps of character curves, and volume rigidity for hyperbolic manifolds
• Continuous bounded cohomology and applications to rigidity theory
• Boundary maps in bounded cohomology Appendix to: Burger and Monod, in this issue
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• On the geometry and dynamics of diffeomorphisms of surfaces
• A Dual Interpretation of the Gromov–Thurston Proof of Mostow Rigidity and Volume Rigidity for Representations of Hyperbolic Lattices
• Volume rigidity ad ideal points of the character variety of hyperbolic 3-manifolds
• Isometric embeddings in bounded cohomology
• Hyperbolic manifolds and discrete groups

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