Unicity for representations of the Kauffman bracket skein algebra

DOI10.1007/s00222-018-0833-xzbMath1491.57014arXiv1707.09234OpenAlexW2964348737WikidataQ129071698 ScholiaQ129071698MaRDI QIDQ1725698

Joanna Kania-Bartoszyńska, Le Ty Kuok Tkhang, Charles D. Frohman

Publication date: 14 February 2019

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.09234

Mathematics Subject Classification ID

Associative rings and algebras arising under various constructions (16S99) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Related Items (18)

The Chebyshev-Frobenius homomorphism for stated skein modules of 3-manifolds ⋮ Faithfullness of geometric action of skein algebras ⋮ Unrestricted quantum moduli algebras. I: The case of punctured spheres ⋮ On multiplying curves in the Kauffman bracket skein algebra of the thickened four-holed sphere ⋮ Unicity for representations of reduced stated skein algebras ⋮ Kauffman bracket versus Jones polynomial skein modules ⋮ The quantum trace as a quantum non-abelianization map ⋮ Mapping class group representations derived from stated skein algebras ⋮ Representations of the Kauffman bracket skein algebra III: closed surfaces and naturality ⋮ Quantum traces for \(\operatorname{SL}_n (\mathbb{C})\): the case \(n = 3\) ⋮ Adequate links in thickened surfaces and the generalized Tait conjectures ⋮ On Kauffman bracket skein modules of marked 3-manifolds and the Chebyshev-Frobenius homomorphism ⋮ Stated skein modules of marked 3-manifolds/surfaces, a survey ⋮ The Roger-Yang skein algebra and the decorated Teichmüller space ⋮ On the skein module of the product of a surface and a circle ⋮ \(\mathrm{SU}(3)\)-skein algebras and webs on surfaces ⋮ Infinite families of hyperbolic 3‐manifolds with finite‐dimensional skein modules ⋮ Dimension and Trace of the Kauffman Bracket Skein Algebra

Cites Work

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• Representations of the Kauffman bracket skein algebra. I: Invariants and miraculous cancellations
• Quantum traces for representations of surface groups in SL\(_{2}(\mathbb C)\)
• The Kauffman skein algebra of a surface at \({\sqrt{-1}}\)
• Dehn-Thurston coordinates for curves on surfaces
• Non-commutative algebraic geometry. An introduction
• A finite set of generators for the Kauffman bracket skein algebra
• Rings of \(SL_2(\mathbb{C})\)-characters and the Kauffman bracket skein module
• Lectures on algebraic quantum groups
• The structure of the Kauffman bracket skein algebra at roots of unity
• On skein algebras and \(Sl_2(\mathbb{C})\)-character varieties
• Dynamics on Thurston's sphere of projective measured foliations
• Topological quantum field theories derived from the Kauffman bracket
• On Kauffman bracket skein modules at roots of unity
• The localized skein algebra is Frobenius
• Representations of the Kauffman bracket skein algebra. II: Punctured surfaces
• Quantum hyperbolic geometry
• Representations of the quantum Teichmüller space and invariants of surface diffeomorphisms
• The variety of characters in \(\text{PSL}_2(\mathbb{C})\)
• Introduction to noncommutative algebra.
• A TQFT from quantum Teichmüller theory
• Frobenius algebras derived from the Kauffman bracket skein algebra
• Character varieties
• Positive basis for surface skein algebras
• Skein quantization of Poisson algebras of loops on surfaces
• Skein spaces and spin structures
• Skein modules and the noncommutative torus
• Skein algebras of surfaces
• QUANTUM TEICHMÜLLER SPACES AND QUANTUM TRACE MAP
• Basic Algebraic Geometry 1
• SKEIN MODULES AT THE 4TH ROOTS OF UNITY
• Algorithmic topology and classification of 3-manifolds
• A quantum Teichmüller space

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