Computing the girth of knots

DOI10.1007/s10114-011-9664-zzbMath1333.57018OpenAlexW1968688564MaRDI QIDQ1758007

Alexander Stoimenow

Publication date: 7 November 2012

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-9664-z

zbMATH Keywords

knotspanning treeJones polynomialplanar graphHeegaard genusdouble branched coverBrandt-Lickorish-Millett-Ho polynomial

Mathematics Subject Classification ID

Low-dimensional topology of special (e.g., branched) coverings (57M12)

Uses Software

• Knotscape

Cites Work

• Unnamed Item
• Classification of knot projections
• A polynomial invariant for unoriented knots and links
• State models and the Jones polynomial
• Hecke algebra representations of braid groups and link polynomials
• The compressibility of checkerboard surfaces of link diagrams
• Square numbers, spanning trees and invariants of achiral knots
• Coefficients and non-triviality of the Jones polynomial
• Knots of (canonical) genus two
• AN APPLICATION OF TQFT: DETERMINING THE GIRTH OF A KNOT
• A polynomial invariant for knots via von Neumann algebras
• Heegaard Splittings of Branched Coverings of S 3
• The volume of hyperbolic alternating link complements
• An Invariant of Regular Isotopy

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