On a generalization of Jones polynomial and its categorification for Legendrian knots

DOI10.1016/j.bulsci.2022.103212OpenAlexW4309797149MaRDI QIDQ2683685

Dheeraj Kulkarni, Monika Yadav

Publication date: 14 February 2023

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.00777

zbMATH Keywords

Jones polynomialKhovanov homologyLegendrian knots

Mathematics Subject Classification ID

Knot polynomials (57K14) Knot theory (57K10) Contact structures in 3 dimensions (57K33)

Cites Work

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• State models for link polynomials
• Topologically trivial Legendrian knots
• Hecke algebra representations of braid groups and link polynomials
• Differential algebra of Legendrian links
• A categorification of the Jones polynomial
• A polynomial invariant for knots via von Neumann algebras
• Khovanov homology, its definitions and ramifications

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