Local coordinates for SL\((n,C)\)-character varieties of finite-volume hyperbolic 3-manifolds

DOI10.5802/ambp.306zbMath1252.53053arXiv1111.4338OpenAlexW2314877085MaRDI QIDQ443797

Pere Menal-Ferrer, Joan Porti

Publication date: 13 August 2012

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4338

zbMATH Keywords

character varietyinfinitesimal deformations\(L^2\)--cohomologyhyperbolic 3--manifold

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Rigidity results (53C24) General geometric structures on low-dimensional manifolds (57M50)

Related Items (10)

Asymptotics of twisted Alexander polynomials and hyperbolic volume ⋮ Dimension of character varieties for $3$-manifolds ⋮ On high-dimensional representations of knot groups ⋮ Volume of Representations and Birationality of Peripheral Holonomy ⋮ Deformation of hyperbolic manifolds in 𝑃𝐺𝐿(𝑛,𝐂) and discreteness of the peripheral representations ⋮ Character Varieties For : The Figure Eight Knot ⋮ Character varieties of higher dimensional representations and splittings of 3-manifolds ⋮ Dimension of representation and character varieties for two- and three-orbifolds ⋮ Torsion functions on moduli spaces in view of the cluster algebra ⋮ Fundamental classes of 3-manifold groups representations in SL(4,R)

Cites Work

• Unnamed Item
• Twisted cohomology for hyperbolic three manifolds
• Rigidity of geometrically finite hyperbolic cone-manifolds
• On vector bundle valued harmonic forms and automorphic forms on symmetric Riemannian manifolds
• Local rigidity of 3-dimensional cone-manifolds
• Remarks on the cohomology of groups
• Varieties of representations of finitely generated groups
• On the First Cohomology of Discrete Subgroups of Semi-Simple Lie Groups
• Hyperbolic manifolds and discrete groups

This page was built for publication: Local coordinates for SL\((n,C)\)-character varieties of finite-volume hyperbolic 3-manifolds