A formula for the braid index of links

DOI10.1016/j.topol.2009.04.029zbMath1194.57011OpenAlexW1972594196MaRDI QIDQ1041671

Myoungsoo Seo, Sang Youl Lee

Publication date: 3 December 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2009.04.029

zbMATH Keywords

braid indexHomfly-pt polynomialMFW inequalityindex of a graphminimal braid representation

Mathematics Subject Classification ID

Related Items (5)

Crossing number of an alternating knot and canonical genus of its Whitehead double ⋮ The HOMFLY polynomial of links in closed braid form ⋮ Knotted fields and explicit fibrations for lemniscate knots ⋮ The braid index of reduced alternating links ⋮ A diagrammatic approach for determining the braid index of alternating links

Cites Work

• The algebraic crossing number and the braid index of knots and links
• Representation of links by braids: A new algorithm
• Hecke algebra representations of braid groups and link polynomials
• The minimal number of Seifert circles equals the braid index of a link
• Studying links via closed braids. III: Classifying links which are closed 3-braids
• Notes on the braid index of closed positive braids.
• On the crossing number of positive knots and braids and braid index criteria of Jones and Morton-Williams-Franks
• RECURRENCE FORMULAS FOR THE ALEXANDER POLYNOMIALS OF 2-BRIDGE LINKS AND THEIR COVERING LINKS
• CASSON KNOT INVARIANTS OF PERIODIC KNOTS WITH RATIONAL QUOTIENTS II
• Khovanov-Rozansky homology and the braid index of a knot
• Seifert circles and knot polynomials
• The 2-variable polynomial of cable knots
• Braids and the Jones Polynomial
• Signatures of Covering Links
• 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
• On some restrictions to the values of the Jones polynomial
• Homogeneous Links
• CASSON KNOT INVARIANTS OF PERIODIC KNOTS WITH RATIONAL QUOTIENTS
• FORMULAS FOR THE CASSON INVARIANT OF CERTAIN INTEGRAL HOMOLOGY 3-SPHERES
• Unnamed Item
• Unnamed Item

This page was built for publication: A formula for the braid index of links