The homological content of the Jones representations at q = −1

DOI10.1142/S0218216516500620zbMath1379.57011arXiv1402.6059MaRDI QIDQ2833316

Jens Kristian Egsgaard, Søren Fuglede Jørgensen

Publication date: 17 November 2016

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6059

zbMATH Keywords

mapping class groupTemperley-Lieb algebrabraid grouptopological quantum field theoryquantum representationJones representation

Mathematics Subject Classification ID

Related Items

Growth of quantum \(6j\)-symbols and applications to the volume conjecture, On the (in)finiteness of the image of Reshetikhin-Turaev representations, Cosets of monodromies and quantum representations, Quantum representations and monodromies of fibered links, Recent progresses on the volume conjectures for Reshetikhin-Turaev and Turaev-Viro invariants, Fundamental shadow links realized as links in \(S^3\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modular functors are determined by their genus zero data
• Construction of the Witten-Reshetikhin-Turaev TQFT from conformal field theory
• Quantum \(SU(2)\) faithfully detects mapping class groups modulo center
• An expansion of the Jones representation of genus \(2\) and the Torelli group
• Invariants of 3-manifolds via link polynomials and quantum groups
• Asymptotic faithfulness of the quantum \(\text{SU}(n)\) representations of the mapping class groups
• Topological Quantum Field Theory and the Nielsen–Thurston classification of $M(0,4)$
• GEOMETRIC CONSTRUCTION OF MODULAR FUNCTORS FROM CONFORMAL FIELD THEORY
• ON THE PROBLEM OF JACOBSTHAL
• LIMITS OF THE QUANTUM SO(3) REPRESENTATIONS FOR THE ONE-HOLED TORUS
• ABELIAN CONFORMAL FIELD THEORY AND DETERMINANT BUNDLES
• Quantum invariants of knots and 3-manifolds