SL(3, ℂ)-character varieties of two-generator groups

DOI10.1142/S0129167X22500239zbMath1486.14071arXiv1809.04757MaRDI QIDQ5061481

Haimiao Chen

Publication date: 11 March 2022

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.04757

zbMATH Keywords

irreducible representationcharacter varietydouble twist linktwo-generator groupasymmetric slicesymmetric slice

Mathematics Subject Classification ID

Invariants of 3-manifolds (including skein modules, character varieties) (57K31) Character varieties (14M35)

Cites Work

• Geometry of the \(\mathrm{SL}(3,\mathbb{C})\)-character variety of torus knots
• Varieties of group representations and splittings of 3-manifolds
• Knots.
• Complex hyperbolic geometry of the figure-eight knot
• On \(\mathrm{SL}(3,\mathbb{C})\)-representations of the Whitehead link group
• Real reflections, commutators, and cross-ratios in complex hyperbolic space
• The \(SL(3,\mathbb{C})\)-character variety of the figure eight knot
• Generators, relations and symmetries in pairs of \(3\times 3\) unimodular matrices
• A complex hyperbolic Riley slice
• 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
• On Spherical CR Uniformization of 3-Manifolds
• Character varieties
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• TRACES IN COMPLEX HYPERBOLIC GEOMETRY
• Duality and invariants of representations of fundamental groups of 3-manifolds into PGL(3,C)
• Some recent results about the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SL</mml:mi> <mml:mi>n</mml:mi> </mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>ℂ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>–representation spaces of knot groups

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