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Essential Tori in 3-String Free Tangle Decompositions of Links

Essential Tori in 3-String Free Tangle Decompositions of Links
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摘要 The author characterizes those link types which have 3-string essential free tangle decompositions and have essential tori in their exteriors. The author characterizes those link types which have 3-string essential free tangle decompositions and have essential tori in their exteriors.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第6期1023-1030,共8页 数学学报(英文版)
关键词 LINKS free tangle decompositions essential tori links, free tangle decompositions, essential tori
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参考文献6

  • 1Morimoto, K.: Essential tori in 3-string free tangle decompositions of knots. J. Knot Ramification, 15, 1357-1362 (2006)
  • 2Schubert, H.: Uber eine numerische Knoteninvariante. Math. Z., 61, 245 288 (1954)
  • 3McA. Gordon, C.: On primitive sets of loops in the boundary of a handlebody. Topology Appl., 27, 285-299 (1987)
  • 4Ozawa, M.: On uniqueness of essential tangle decompositions of knots with free, tangle decompositions, Proc. Appl. Math. Workshop, 8, ed. G. T. Jin and K. H. Ko, KAIST, Taejon, 1998
  • 5Morimoto, K., Sakuma, M.: On unknotting tunnels for knots. Math. Ann., 289, 143-167 (1991)
  • 6Eudabe-Mufioz, M., Uchida, Y.: Non-simple links with tunnel number one. Proc. A. M. S., 124, 1567-1575 (1996)

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