A new polynomial criterion for periodic knots

DOI10.1142/S021821652250064XOpenAlexW3015999646MaRDI QIDQ5044439

MacIej Markiewicz, Wojciech Politarczyk

Publication date: 31 October 2022

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

Full work available at URL: https://arxiv.org/abs/2004.03525

zbMATH Keywords

Kauffman polynomialHOMFLY-PT polynomialperiodic links

Mathematics Subject Classification ID

Group actions on manifolds and cell complexes in low dimensions (57M60) Knot theory (57K10)

Uses Software

• SageMath
• SnapPy
• Knot Atlas
• GitHub

Cites Work

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• Finite group actions on 3-manifolds
• Periodic knots and Heegaard Floer correction terms
• On Murasugi's and Traczyk's criteria for periodic links
• Jones polynomials of periodic links
• Alexander polynomials of periodic knots
• On periodic knots
• Equivariant Jones polynomials of periodic links
• 10 101 Has no Period 7: A Criterion for Periodic Links
• The Jones Polynomial of Periodic Knots
• Alexander polynomials of equivariant slice and ribbon knots in 𝑆³
• A polynomial invariant for knots via von Neumann algebras
• A new polynomial invariant of knots and links
• Conway Algebras and Skein Equivalence of Links
• New invariants of periodic knots
• An Invariant of Regular Isotopy
• Khovanov homology and periodic links

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