This article is cited in 1 paper

Everywhere Equivalent 3-Braids

Alexander Stoimenow

Gwangju Institute of Science and Technology, School of General Studies, GIST College, 123 Cheomdan-gwagiro, Gwangju 500-712, Korea

Abstract: A knot (or link) diagram is said to be everywhere equivalent if all the diagrams obtained by switching one crossing represent the same knot (or link). We classify such diagrams of a closed 3-braid.

Keywords: 3-braid group; Jones polynomial; Kauffman bracket; Burau representation; adequate diagram.

MSC: 57M25; 20F36; 20E45; 20C08

Received: July 8, 2014; in final form November 4, 2014; Published online November 16, 2014

Language: English

DOI: 10.3842/SIGMA.2014.105

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ArXiv: 1411.4223