Volume bounds for weaving knots
Geometric Topology
2016-12-21 v2
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 correct volume bounds for weaving knots, and we prove that the infinite weave is their geometric limit.
Keywords
Cite
@article{arxiv.1506.04139,
title = {Volume bounds for weaving knots},
author = {Abhijit Champanerkar and Ilya Kofman and Jessica S. Purcell},
journal= {arXiv preprint arXiv:1506.04139},
year = {2016}
}
Comments
17 pages, 12 figures. Formerly part of arXiv:1411.7915. V2: minor corrections in sections 2 and 4; clarified and expanded exposition throughout