THE BASKET NUMBERS OF KNOTS

DOI10.11568/kjm.2015.23.1.115zbMath1433.57007OpenAlexW1987433686MaRDI QIDQ5217009

Je-Jun Bang, Jun-Ho do, Se-Han Park, Dong Seok Kim, Tae Hyung Kim

Publication date: 21 February 2020

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11568/kjm.2015.23.1.115

zbMATH Keywords

Seifert surfacesbasket numbersbasket surfaces

Mathematics Subject Classification ID

Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Uses Software

• PSTricks

Cites Work

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• Knoten mit zwei Brücken
• Genus distributions for bouquets of circles
• How to construct all fibered knots and links
• Über das Geschlecht von Knoten
• Homotopieringe und Linsenräume
• On the classification of rational tangles
• The Murasugi sum is a natural geometric operation
• THE BOUNDARIES OF DIPOLE GRAPHS AND THE COMPLETE BIPARTITE GRAPHS K_2,n
• Notes on braidzel surfaces for links
• Seifert surfaces in open books, and a new coding algorithm for links
• QUASIPOSITIVE ANNULI (CONSTRUCTIONS OF QUASIPOSITIVE KNOTS AND LINKS, IV)
• CONSTRUCTING LINKS BY PLUMBING FLAT ANNULI
• ON CANONICAL GENUS OF FIBERED KNOT
• A CLASSIFICATION OF LINKS OF THE FLAT PLUMBING BASKET NUMBERS 4 OR LESS
• BANDED SURFACES, BANDED LINKS, BAND INDICES AND GENERA OF LINKS
• Seifert surfaces in open books, and pass moves on links
• The complete list of prime knots whose flat plumbing basket numbers are 6 or less
• Hopf plumbing, arborescent Seifert surfaces, baskets, espaliers, and homogeneous braids

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