Skip to main content
Log in

Essential tori in 3-string free tangle decompositions of links

  • Published:
Acta Mathematica Sinica, English Series Aims and scope Submit manuscript

Abstract

The author characterizes those link types which have 3-string essential free tangle decompositions and have essential tori in their exteriors.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Morimoto, K.: Essential tori in 3-string free tangle decompositions of knots. J. Knot Ramification, 15, 1357–1362 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  2. Schubert, H.: Über eine numerische Knoteninvariante. Math. Z., 61, 245–288 (1954)

    Article  MathSciNet  MATH  Google Scholar 

  3. McA. Gordon, C.: On primitive sets of loops in the boundary of a handlebody. Topology Appl., 27, 285–299 (1987)

    Article  MathSciNet  Google Scholar 

  4. Ozawa, 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

    Google Scholar 

  5. Morimoto, K., Sakuma, M.: On unknotting tunnels for knots. Math. Ann., 289, 143–167 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  6. Eudabe-Muñnoz, M., Uchida, Y.: Non-simple links with tunnel number one. Proc. A. M. S., 124, 1567–1575 (1996)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kanji Morimoto.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Morimoto, K. Essential tori in 3-string free tangle decompositions of links. Acta. Math. Sin.-English Ser. 24, 1023–1030 (2008). https://doi.org/10.1007/s10114-007-6492-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10114-007-6492-2

Keywords

MR(2000) Subject Classification

Navigation