Volume 18, issue 1 (2018)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 18, 1 issue

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Width of a satellite knot and its companion

Qilong Guo and Zhenkun Li

Algebraic & Geometric Topology 18 (2018) 1–13
Abstract

In this paper, we give a proof of a conjecture which says that w(K) n2w(J), where w( ) is the width of a knot, K is a satellite knot with J as its companion, and n is the winding number of the pattern. We also show that equality holds if K is a satellite knot with braid pattern.

Keywords
width, satellite knots, companion, pattern, winding number
Mathematical Subject Classification 2010
Primary: 57M25, 57M27
References
Publication
Received: 25 November 2014
Revised: 15 May 2017
Accepted: 14 July 2017
Published: 10 January 2018
Authors
Qilong Guo
College of Science
China University of Petroleum-Beijing
Beijing
China
Zhenkun Li
Department of Mathematics
Massachusetts Institute of Technology
Cambridge, MA
United States