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THE BASKET NUMBERS OF LINKS OF 6 CROSSINGS OR LESS

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In present article, we find a complete classification theorem of links ofbasket numbers 2 or less. As an application, we study the basket numbers of links of6 crossings or less.

Abstract

In present article, we find a complete classification theorem of links ofbasket numbers 2 or less. As an application, we study the basket numbers of links of6 crossings or less.

참고문헌 (9)

  1. Je-Jun Bang, "The basket numbers of knots", ~
  2. Yoon-Ho Choi, "The complete list of prime knots whose flat plumbing basket numbers are 6 or less", arXiv:1408.3729, ~
  3. R. Furihata, "Seifert surfaces in open books, and a new coding algorithm for links", Bull. London Math. Soc., 40(3), pp.405~414 (2008)
  4. D. Gabai, "Genera of the arborescent links", Mem. Amer. Math. Soc., 59(339), pp.198~ (1986)
  5. D. Kim, "Basket, flat plumbing and flat plumbing basket surfaces derived from induced graphs", arXiv:1108.1455, ~
  6. L. Rudolph, "Hopf plumbing, arborescent Seifert surfaces, baskets, espaliers, and homogeneous braids", Topology Appl., 116, pp.255~277 (2001)
  7. H. Seifert, "Uber das Geschlecht von Knoten", Math. Ann., 110, pp.571~592 (1934)
  8. J. Stallings, "Constructions of fibred knots and links, in: Algebraic and Geometric Topology", Proc. Sympos. Pure Math., pp.55~60 (1978), Amer. Math. Soc.

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