A topological model for the coloured Alexander invariants

DOI10.1016/j.topol.2023.108465OpenAlexW2948833915MaRDI QIDQ2691877

Cristina Ana-Maria Anghel

Publication date: 30 March 2023

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.04056

zbMATH Keywords

quantum invariantstopological modelshomological representations

Mathematics Subject Classification ID

Knot polynomials (57K14) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16)

Cites Work

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• The Lawrence-Krammer-Bigelow representations of the braid groups via \(U_q(\mathfrak{sl}_2)\).
• The hyperbolic volume of knots from the quantum dilogarithm
• A functorial approach to the one-variable Jones polynomial
• Homological representations of the Hecke algebra
• A homological representation formula of colored Alexander invariants
• Colored Alexander invariants and cone-manifolds
• A state model for the multi-variable Alexander polynomial
• A topological model for the coloured Jones polynomials
• Reading the dual Garside length of braids from homological and quantum representations.
• Invariants of 3-manifolds via link polynomials and quantum groups
• INVARIANTS OF COLORED LINKS
• HOMOLOGICAL REPRESENTATIONS OF BRAID GROUPS AND KZ CONNECTIONS
• Topological formula of the loop expansion of the colored Jones polynomials
• The colored Jones polynomials and the simplicial volume of a knot

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