A homological representation formula of colored Alexander invariants

DOI10.1016/j.aim.2015.11.023zbMath1338.57014arXiv1505.02841OpenAlexW2154839583MaRDI QIDQ904012

Tetsuya Ito

Publication date: 15 January 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02841

zbMATH Keywords

Alexander polynomial(truncated) Lawrence's representationcolored Alexander invariant

Mathematics Subject Classification ID

Related Items (4)

A topological model for the coloured Alexander invariants ⋮ Non-semi-simple TQFT of the sphere with four punctures ⋮ Homological and monodromy representations of framed braid groups ⋮ Braid group action on projective quantum \(\mathfrak{sl}(2)\) modules

Cites Work

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• The hyperbolic volume of knots from the quantum dilogarithm
• Homological representations of the Hecke algebra
• Colored Alexander invariants and cone-manifolds
• A state model for the multi-variable Alexander polynomial
• A note on the Lawrence-Krammer-Bigelow representation
• Reading the dual Garside length of braids from homological and quantum representations.
• Modified quantum dimensions and re-normalized link invariants
• INVARIANTS OF COLORED LINKS
• Topological formula of the loop expansion of the colored Jones polynomials
• Braid groups are linear
• Braid groups are linear
• The colored Jones polynomials and the simplicial volume of a knot

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