Lonely knots and tangles: Identifying knots with no companions

DOI10.1112/S0025579300006689zbMath0772.57007OpenAlexW2098686790MaRDI QIDQ4009231

Peter R. Cromwell

Publication date: 27 September 1992

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300006689

zbMATH Keywords

knotincompressible torusAlexander polynomialtanglealternating knotscompanionnon-alternating knots

Mathematics Subject Classification ID

Cites Work

• Closed incompressible surfaces in alternating knot and link complements
• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• On the Kauffman polynomial of an adequate link
• On a theorem on partially summing tangles by Lickorish
• An upper bound for the breadth of the Jones polynomial
• Prime Knots and Tangles
• Homogeneous Links

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