The braid index of reduced alternating links

DOI10.1017/S0305004118000907zbMath1446.57002arXiv1701.07366OpenAlexW2964158996MaRDI QIDQ5115539

Pengyu Liu, Yuanan Diao

Publication date: 16 August 2020

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.07366

zbMATH Keywords

braid indexalternating linksSeifert circles

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15) Knot polynomials (57K14) Knot theory (57K10)

Related Items (6)

On homogeneous quasipositive links ⋮ Sublinks of strongly quasipositive links ⋮ On alternating quasipositive links ⋮ A diagrammatic approach for determining the braid index of alternating links ⋮ Writhe-like invariants of alternating links ⋮ Families of curly knots

Cites Work

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• State models and the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• Hecke algebra representations of braid groups and link polynomials
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• Studying links via closed braids. III: Classifying links which are closed 3-braids
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• ON THE DEFINITION OF GRAPH INDEX
• REDUCING BRAID INDEX BY MURASUGI–PRZYTYCKI OPERATION
• On the crossing number of positive knots and braids and braid index criteria of Jones and Morton-Williams-Franks
• Diagram genus, generators and applications
• A new polynomial invariant of knots and links
• Seifert circles and knot polynomials
• The 2-variable polynomial of cable knots
• Conway Algebras and Skein Equivalence of Links
• Braids and the Jones Polynomial
• On the Braid Index of Alternating Links
• An index of a graph with applications to knot theory
• ON THE INDEX OF GRAPHS: INDEX VERSUS CYCLE INDEX
• POSITIVE ALTERNATING LINKS ARE POSITIVELY ALTERNATING
• Homogeneous Links
• Circuit Partitions and the Homfly Polynomial of Closed Braids

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