Some invariants of Pretzel links

DOI10.1017/S0004972700039198zbMath1119.57002arXiv0704.1432OpenAlexW2963900687MaRDI QIDQ3442323

Jaeun Lee, Dong Seok Kim

Publication date: 18 May 2007

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.1432

zbMATH Keywords

genusConway polynomialpretzel linksbasket number

Mathematics Subject Classification ID

Related Items

Hyperbolic 3-manifolds admitting no fillable contact structures ⋮ Graph manifolds, left-orderability and amalgamation ⋮ BANDED SURFACES, BANDED LINKS, BAND INDICES AND GENERA OF LINKS ⋮ The Turaev genus of torus knots ⋮ Infinitely many prime knots with the same Alexander invariants ⋮ Cosmetic surgery in L-spaces and nugatory crossings ⋮ Characterizations of pretzel knots which are simple-ribbon ⋮ On the location of zeros of the Homfly polynomial ⋮ THE HOMFLY POLYNOMIAL OF CLASSICAL PRETZEL LINKS AND ITS APPLICATION TO CHIRALITY ⋮ Purely cosmetic surgeries and pretzel knots ⋮ Alternating distances of knots and links ⋮ On the tunnel number and the Morse-Novikov number of knots ⋮ The number of circles of a maximum state of a plane graph with applications ⋮ The Links–Gould Invariant as a Classical Generalization of the Alexander Polynomial? ⋮ Promoting circular-orderability to left-orderability ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Closed incompressible surfaces in alternating knot and link complements
• Double branched covers and pretzel knots
• Hecke algebra representations of braid groups and link polynomials
• Genus of alternating link types
• Almost alternating links
• The first 1,701,936 knots
• The Jones polynomial of pretzel knots and links
• A geometric construction of the Conway potential function
• How to construct all fibered knots and links
• Über das Geschlecht von Knoten
• On the Alexander polynomial
• On the Free Genus of Knots
• The Murasugi sum is a natural geometric operation
• Combinatorics and knot theory
• Braids and the Jones Polynomial
• Prime Knots and Tangles
• QUASIPOSITIVE ANNULI (CONSTRUCTIONS OF QUASIPOSITIVE KNOTS AND LINKS, IV)
• CONSTRUCTING LINKS BY PLUMBING FLAT ANNULI
• ON CANONICAL GENUS OF FIBERED KNOT
• ON CANONICAL GENUS AND FREE GENUS OF KNOT
• Hopf plumbing, arborescent Seifert surfaces, baskets, espaliers, and homogeneous braids

This page was built for publication: Some invariants of Pretzel links