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arXiv · 1506.04139

Volume bounds for weaving knots

Abhijit Champanerkar·Ilya Kofman·Jessica S. Purcell
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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.

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Abhijit Champanerkar, Ilya Kofman, Jessica S. Purcell. 2016-05-24. Volume bounds for weaving knots. https://doi.org/10.2140/agt.2016.16.3301

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