A prime decomposition theorem for the 2-string link monoid-Reference-Cited by-同舟云学术

A prime decomposition theorem for the 2-string link monoid

Published:2015-02 Issue:02 Volume:24 Page:1550005
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Blair Ryan¹,Burke John²,Koytcheff Robin³

Affiliation:

1. Department of Mathematics & Statistics, California State University Long Beach, 1250 Bellflower Blvd, Long Beach, CA 90840, USA

2. Mathematics and Computer Science Department, Rhode Island College, 600 Mount Pleasant Avenue, Providence, RI 02908, USA

3. Department of Mathematics and Statistics, University of Victoria, PO Box 1700 STN CSC, Victoria, V8W 2Y2, Canada

Abstract

In this paper we use 3-manifold techniques to illuminate the structure of the string link monoid. In particular, we give a prime decomposition theorem for string links on two components as well as give necessary conditions for string links to commute under the stacking operation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216515500054

Reference9 articles.

1. Little cubes and long knots

2. An operad for splicing

3. Sur les difféomorphismes de la sphère de dimension trois (Γ4 = O)

4. Kneser-Haken finiteness for bounded 3-manifolds, locally free groups, and cyclic covers

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