Legendrian DGA representations and the colored Kauffman polynomial

DOI10.3842/SIGMA.2020.017zbMath1444.57006arXiv1908.08978MaRDI QIDQ2307680

Publication date: 25 March 2020

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.08978

zbMATH Keywords

Kauffman polynomial Legendrian knots augmentations ruling polynomial

Mathematics Subject Classification ID

Symplectic field theory; contact homology (53D42) Knot polynomials (57K14) Knot theory (57K10) Contact structures in 3 dimensions (57K33)

Cites Work

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Satellites of Legendrian knots and representations of the Chekanov-Eliashberg algebra
Effect of Legendrian surgery
HOMFLY-PT polynomial and normal rulings of Legendrian solid torus links
Connections between Floer-type invariants and Morse-type invariants of Legendrian knots
The representations of the q-analogue of Brauer's centralizer algebras and the Kauffman polynomial of links
The correspondence between augmentations and rulings for Legendrian knots
Invariants of Legendrian and transverse knots in the standard contact space
Estimates for the Bennequin number of Legendrian links from state models for knot polynomials
Chekanov--Eliashberg invariant of Legendrian knots: Existence of augmentations
Differential algebra of Legendrian links
Generating function polynomials for Legendrian links
Computable Legendrian invariants
Invariants of Legendrian knots and coherent orientations
Knot contact homology
Symmetrizer and antisymmetrizer of the Birman-Wenzl-Murakami algebras
Satellite ruling polynomials, DGA representations, and the colored HOMFLY-PT polynomial
Augmentations are sheaves
Generalized complex structures on nilmanifolds
SYMMETRIZERS AND ANTISYMMETRIZERS FOR THE BMW-ALGEBRA
The Thurston-Bennequin number, Kauffman polynomial, and ruling invariants of a Legendrian link: The Fuchs conjecture and beyond
A congruence between link polynomials
A Skein Approach to Bennequin-Type Inequalities
Braids and the Jones Polynomial
Braids, Link Polynomials and a New Algebra
Ruling polynomials and augmentations over finite fields
An Introduction to Contact Topology
Combinatorics of fronts of Legendrian links and the Arnol'd 4-conjectures
Skein construction of idempotents in Birman-Murakami-Wenzl algebras

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