Knots prime on many strings-Reference-Cited by-同舟云学术

Knots prime on many strings

Published:1984 Issue:1 Volume:282 Page:385-401
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bleiler Steven A.

Abstract

A study is made of the factorization of prime knots into tangles. Several infinite families of knots which do not factor into prime tangles are examined, and a new characterization of knot primality is developed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1984-282-01/S0002-9947-1984-0728719-9/S0002-9947-1984-0728719-9.pdf

Reference20 articles.

1. Heegaard splittings of prime 3-manifolds are not unique;Birman, Joan S.;Michigan Math. J.,1976

2. F. Bonahon and L. Siebenmann, New geometric splittings of classical knots (to appear).

3. An enumeration of knots and links, and some of their algebraic properties;Conway, J. H.,1970

4. Presentations of the trefoil group;Dunwoody, M. J.;Canad. Math. Bull.,1973

5. W. Jaco, Lectures on 3-manifolds topology, CBMS Regional Conf. Ser. in Math., no. 43, Amer. Math. Soc., Providence, R. I., 1979.

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Bordered Floer homology and existence of incompressible tori in homology spheres;Compositio Mathematica;2018-05-18

2. Corrigendum: The minimum crossing number of essential tangles;Journal of Knot Theory and Its Ramifications;2017-04

3. Tangling of Tethered Swimmers: Interactions between Two Nematodes;Physical Review Letters;2014-09-23

4. The minimum crossing number of essential tangles;Journal of Knot Theory and Its Ramifications;2014-09

5. CLASSIFICATION OF TANGLE SOLUTIONS FOR INTEGRASES, A PROTEIN FAMILY THAT CHANGES DNA TOPOLOGY;Journal of Knot Theory and Its Ramifications;2007-10