Volume of Representations and Birationality of Peripheral Holonomy

DOI10.1080/10586458.2017.1320240zbMath1408.57015arXiv1605.05917OpenAlexW2963780092MaRDI QIDQ4646707

Antonin Guilloux

Publication date: 14 January 2019

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05917

zbMATH Keywords

volumecharacter varieties

Mathematics Subject Classification ID

Related Items (2)

Rigidity at infinity for the Borel function of the tetrahedral reflection lattice ⋮ Equivariant maps for measurable cocycles with values into higher rank Lie groups

Uses Software

• SageMath
• Gfan
• Xcas
• Giac
• SnapPy
• ISOLATE

Cites Work

• Unnamed Item
• Local coordinates for SL\((n,C)\)-character varieties of finite-volume hyperbolic 3-manifolds
• Tetrahedra of flags, volume and homology of SL(3)
• A birationality result for character varieties
• Volumes of hyperbolic three-manifolds
• Solving zero-dimensional systems through the rational univariate representation
• Cyclic surgery, degrees of maps of character curves, and volume rigidity for hyperbolic manifolds
• Degenerations of ideal hyperbolic triangulations
• Gluing equations for \(\mathrm{PGL}(n, \mathbb{C})\)-representations of 3-manifolds
• Representations of fundamental groups of 3-manifolds into \(\mathrm{PGL}(3,\mathbb C)\): exact computations in low complexity
• Character Varieties For : The Figure Eight Knot
• Character varieties
• Deformation of hyperbolic manifolds in 𝑃𝐺𝐿(𝑛,𝐂) and discreteness of the peripheral representations
• Local Rigidity for -Representations of 3-Manifold Groups
• A Census of Tetrahedral Hyperbolic Manifolds

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