### Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 10 (2014), 105, 22 pages      arXiv:1411.4223      https://doi.org/10.3842/SIGMA.2014.105

### 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

Received July 08, 2014, in final form November 04, 2014; Published online November 16, 2014

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.

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

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