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A classification of links of the flat plumbing basket numbers 4 or less
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Flat plumbing basket surfaces of links were introduced to study the geometry of the complement of the links. In present article, we study links of the flat plumbing basket numbers 4 or less using a special presentation of the flat plumbing basket surfaces. We find a complete classification theorem of links of the flat plumbing basket numbers 4 or less.
Abstract
Flat plumbing basket surfaces of links were introduced to study the geometry of the complement of the links. In present article, we study links of the flat plumbing basket numbers 4 or less using a special presentation of the flat plumbing basket surfaces. We find a complete classification theorem of links of the flat plumbing basket numbers 4 or less.
참고문헌 (10)
- Y. Choi, "A new classification of links by the flat plumbing basket numbers", preprint, ~
- R. Furihata, "Seifert surfaces in open books, and a new coding algorithm for links", Bull. London Math. Soc, 40(3), pp.405~414 (2008)
- D. Gabai, "Genera of the arborescent links", Mem. Amer. Math. Soc., 59(339), pp.1~98 (1986)
- S. Hirose, "Seifert surfaces in open books, and pass moves on links"
- D. Kim, "Basket, flat plumbing and flat plumbing basket surfaces derived from induced graphs"
- D. Kim, "Banded surfaces, banded links, band indices and genera of links", J. Knot Theory Ramifications, 22(7) (2013)
- L. Rudolph, "Hopf plumbing, arborescent Seifert surfaces, baskets, espaliers, and homogeneous braids", Topology Appl, 116, pp.255~277 (2001)
- H. Seifert, "Uber das Geschlecht von Knoten", Math. Ann, 110, pp.571~592 (1934)
- J. Stallings, "Constructions of fibred knots and links, in: Algebraic and Geometric Topology", Proc. Sympos. PureMath. (1978), Amer. Math. Soc.
- T. Van Zandt, "PSTricks: PostScript macros for generic TEX", pp.ftp.princeton.edu, ftp:
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