Distortion and the bridge distance of knots

Authors

Ryan Blair, California State University, Long Beach
Marion Campisi, San Jose State UniversityFollow
Scott A. Taylor, Colby College
Maggy Tomova, University of Iowa

Publication Date

6-1-2020

Document Type

Article

Publication Title

Journal of Topology

Volume

13

Issue

2

DOI

10.1112/topo.12139

First Page

669

Last Page

682

Abstract

We extend techniques due to Pardon to show that there is a lower bound on the distortion of a knot in (Formula presented.) proportional to the minimum of the bridge distance and the bridge number of the knot. We also exhibit an infinite family of knots for which the minimum of the bridge distance and the bridge number is unbounded and Pardon's lower bound is constant.

Funding Number

1821254

Funding Sponsor

National Science Foundation

Keywords

57M27 (primary)

Department

Mathematics and Statistics

Recommended Citation

Ryan Blair, Marion Campisi, Scott A. Taylor, and Maggy Tomova. "Distortion and the bridge distance of knots" Journal of Topology (2020): 669-682. https://doi.org/10.1112/topo.12139