Volume 16, issue 6 (2016)
Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

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
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
Volume bounds for weaving knots

Abhijit Champanerkar, Ilya Kofman and Jessica S Purcell
Algebraic & Geometric Topology 16 (2016) 3301–3323
DOI: 10.2140/agt.2016.16.3301
Abstract

Weaving knots are alternating knots with the same projection as torus knots, and were conjectured by X-S Lin to be among the maximum volume knots for fixed crossing number. We provide the first asymptotically sharp volume bounds for weaving knots, and we prove that the infinite square weave is their geometric limit.

Keywords
hyperbolic volume, weaving knot, crossing number, geometric limit
Mathematical Subject Classification 2010
Primary: 57M25, 57M50
References
Publication
Received: 19 June 2015
Revised: 23 May 2016
Accepted: 9 June 2016
Published: 15 December 2016
Authors
Abhijit Champanerkar
Department of Mathematics
College of Staten Island & The Graduate Center
City University of New York
New York, NY 10314
United States
Ilya Kofman
Jessica S Purcell
School of Mathematical Sciences
Monash University
9 Rainforest Walk, Room 401
Clayton VIC 3800
Australia