Deformation of hyperbolic manifolds in 𝑃𝐺𝐿(𝑛,𝐂) and discreteness of the peripheral representations

DOI10.1090/S0002-9939-2014-12376-8zbMath1328.57008arXiv1609.07321OpenAlexW2331245594MaRDI QIDQ5179401

Antonin Guilloux

Publication date: 19 March 2015

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

Full work available at URL: https://arxiv.org/abs/1609.07321

zbMATH Keywords

hyperbolic manifoldhyperbolic Dehn surgerydiscrete faithful representationperipheral representation

Mathematics Subject Classification ID

Related Items (5)

Dimension of character varieties for $3$-manifolds ⋮ Volume of Representations and Birationality of Peripheral Holonomy ⋮ On \(\mathrm{SL}(3,\mathbb{C})\)-representations of the Whitehead link group ⋮ Representations of fundamental groups of 3-manifolds into \(\mathrm{PGL}(3,\mathbb C)\): exact computations in low complexity ⋮ Geometric structures and configurations of flags in orbits of real forms

Cites Work

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• Local coordinates for SL\((n,C)\)-character varieties of finite-volume hyperbolic 3-manifolds
• Tetrahedra of flags, volume and homology of SL(3)
• A spherical CR structure on the complement of the figure eight knot with discrete holonomy
• Volumes of hyperbolic three-manifolds
• Positively oriented ideal triangulations on hyperbolic three-manifolds
• Complex hyperbolic geometry of the figure-eight knot
• Hyperbolic manifolds and discrete groups

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