Torus knots obtained by twisting torus knots

Lee, Sangyop

doi:10.2140/agt.2015.15.2819

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Torus knots obtained by twisting torus knots

Sangyop Lee

Algebraic & Geometric Topology 15 (2015) 2817–2836

DOI: 10.2140/agt.2015.15.2819

Abstract

A twisted torus knot is obtained from a torus knot by adding a number of full twists to some adjacent strands of the torus knot. In this paper, we show that if a twisted torus knot is a torus knot, then the number of added full twists is generically at most two in absolute value. We also show that this bound is the best possible by classifying twisted torus knots for which the upper bound is attained.

Keywords

Dehn surgery, torus knots, twisted torus knots

Mathematical Subject Classification 2010

Primary: 57N10

References

Publication

Received: 30 June 2014

Revised: 4 August 2014

Accepted: 9 February 2015

Published: 10 December 2015

Authors

Sangyop Lee
Department of Mathematics Chung-Ang University 84 Heukseok-ro, Dongjak-gu Seoul 156-756 South Korea

Volume 15, issue 5 (2015)