Equivariant Jones polynomials of periodic links

DOI10.1142/S0218216517410073zbMath1376.57011arXiv1504.03462OpenAlexW3100639937MaRDI QIDQ2977919

Wojciech Politarczyk

Publication date: 20 April 2017

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

Full work available at URL: https://arxiv.org/abs/1504.03462

zbMATH Keywords

Jones polynomialKhovanov homologyperiodic linksequivariant Khovanov homologyequivariant Jones polynomial

Mathematics Subject Classification ID

Related Items (7)

Linking forms, finite orthogonal groups and periodicity of links ⋮ A new polynomial criterion for periodic knots ⋮ A rank inequality for the annular Khovanov homology of 2-periodic links ⋮ Equivariant Khovanov homology of periodic links ⋮ Extended periodic links and HOMFLYPT polynomial ⋮ Khovanov homology and periodic links ⋮ A note on the Jones polynomials of 3-braid links

Uses Software

• SageMath
• GitHub
• knotkit

Cites Work

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• State models and the Jones polynomial
• On Murasugi's and Traczyk's criteria for periodic links
• Jones polynomials of periodic links
• Alexander polynomials of periodic knots
• Equivariant Khovanov homology of periodic links
• On periodic knots
• GRAPH SKEIN MODULES AND SYMMETRIES OF SPATIAL GRAPHS
• Five lectures on Khovanov homology
• 10 101 Has no Period 7: A Criterion for Periodic Links
• The Jones Polynomial of Periodic Knots
• Quantum invariants of periodic links and periodic 3-manifolds
• Skein algebras of the solid torus and symmetric spatial graphs

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