On Kauffman bracket skein modules at roots of unity

DOI10.2140/agt.2015.15.1093zbMath1315.57027arXiv1312.3705OpenAlexW1592333403MaRDI QIDQ2346733

Le Ty Kuok Tkhang

Publication date: 3 June 2015

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3705

zbMATH Keywords

Kauffman bracket skein moduleChebyshev homomorphism

Mathematics Subject Classification ID

Related Items (22)

The Chebyshev-Frobenius homomorphism for stated skein modules of 3-manifolds ⋮ Faithfullness of geometric action of skein algebras ⋮ Representations of the Kauffman bracket skein algebra. I: Invariants and miraculous cancellations ⋮ Non-semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants ⋮ Skein algebras of surfaces ⋮ The structure of the Kauffman bracket skein algebra at roots of unity ⋮ The localized skein algebra is Frobenius ⋮ Representations of the Kauffman bracket skein algebra. II: Punctured surfaces ⋮ Remarks on Chebyshev polynomials, Fibonacci polynomials and Kauffman bracket skein modules ⋮ Representations of the Kauffman bracket skein algebra III: closed surfaces and naturality ⋮ Irreducible decomposition for local representations of quantum Teichmüller space ⋮ Skein algebras of three-manifolds at 4th roots of unity ⋮ Center of Poisson and Skein algebras associated to loops on surfaces ⋮ Triangular decomposition of \(\mathrm{SL}_3\) skein algebras ⋮ On positivity of Roger-Yang skein algebras ⋮ Unicity for representations of the Kauffman bracket skein algebra ⋮ The Witten-Reshetikhin-Turaev representation of the Kauffman bracket skein algebra ⋮ On Kauffman bracket skein modules of marked 3-manifolds and the Chebyshev-Frobenius homomorphism ⋮ Stated skein modules of marked 3-manifolds/surfaces, a survey ⋮ \(\mathrm{SU}(3)\)-skein algebras and webs on surfaces ⋮ The skein category of the annulus ⋮ Dimension and Trace of the Kauffman Bracket Skein Algebra

Cites Work

• Unnamed Item
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• Representations of the Kauffman bracket skein algebra. I: Invariants and miraculous cancellations
• The skein module of torus knots
• Quantum traces for representations of surface groups in SL\(_{2}(\mathbb C)\)
• The colored Jones polynomial and the \(A\)-polynomial of knots
• State models and the Jones polynomial
• Three-manifold invariants derived from the Kauffman bracket
• Rings of \(SL_2(\mathbb{C})\)-characters and the Kauffman bracket skein module
• Quantization of Teichmüller spaces and the quantum dilogarithm
• On skein algebras and \(Sl_2(\mathbb{C})\)-character varieties
• Skein quantization of Poisson algebras of loops on surfaces
• UNDERSTANDING THE KAUFFMAN BRACKET SKEIN MODULE
• Skein modules and the noncommutative torus
• Multiplicative structure of Kauffman bracket skein module quantizations
• The Kauffman bracket skein module of two-bridge links
• SKEIN MODULES AT THE 4TH ROOTS OF UNITY
• A quantum Teichmüller space

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