On deformation spaces of nonuniform hyperbolic lattices

DOI10.1017/S0305004116000293zbMath1371.57017arXiv1310.1154MaRDI QIDQ5360408

Sungwoon Kim, Inkang Kim

Publication date: 28 September 2017

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1154

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) General geometric structures on low-dimensional manifolds (57M50) Continuous cohomology of Lie groups (22E41)

Related Items (5)

A note on the integrality of volumes of representations ⋮ Integrality of volumes of representations ⋮ Volume of representations and mapping degree ⋮ The Volume of complete anti-de Sitter 3-manifolds ⋮ A Matsumoto-Mostow result for Zimmer's cocycles of hyperbolic lattices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the equivalence of the definitions of volume of representations
• The volume and Chern-Simons invariant of a representation
• Surface group representations with maximal Toledo invariant
• Topological components of spaces of representations
• Representations of surface groups in complex hyperbolic space
• Rationality of secondary classes
• Amenable subgroups of semi-simple groups and proximal flows
• Cyclic surgery, degrees of maps of character curves, and volume rigidity for hyperbolic manifolds
• Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin
• Bloch invariants of hyperbolic \(3\)-manifolds
• On discrete subgroups of Lie groups. I, II
• Volume invariant and maximal representations of discrete subgroups of Lie groups
• Geometric Milnor-Wood inequalities
• Maximal volume representations are Fuchsian
• Proportionality principle for the simplicial volume of families of \(\mathbb Q\)-rank 1 locally symmetric spaces
• A Dual Interpretation of the Gromov–Thurston Proof of Mostow Rigidity and Volume Rigidity for Representations of Hyperbolic Lattices
• Isometric embeddings in bounded cohomology
• Simplicial volume of compact manifolds with amenable boundary
• Elementary Differential Topology. (AM-54)
• Continuous bounded cohomology of locally compact groups
• Non-zero degree maps to hyperbolic \(3\)-manifolds

This page was built for publication: On deformation spaces of nonuniform hyperbolic lattices