Open Access
2015 A simplification of grid equivalence
Nancy Scherich
Involve 8(5): 721-734 (2015). DOI: 10.2140/involve.2015.8.721

Abstract

In the work of Cromwell and Dynnikov, grid equivalence is given by the grid moves commutation, (de-)stabilization and cyclic permutation. This paper gives a proof that cyclic permutation is a sequence of (de-)stabilization and commutation grid moves.

Citation

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Nancy Scherich. "A simplification of grid equivalence." Involve 8 (5) 721 - 734, 2015. https://doi.org/10.2140/involve.2015.8.721

Information

Received: 20 November 2012; Revised: 21 October 2014; Accepted: 16 January 2015; Published: 2015
First available in Project Euclid: 22 November 2017

zbMATH: 1327.57020
MathSciNet: MR3404651
Digital Object Identifier: 10.2140/involve.2015.8.721

Subjects:
Primary: 57M27

Keywords: grid diagrams , knot theory

Rights: Copyright © 2015 Mathematical Sciences Publishers

Vol.8 • No. 5 • 2015
MSP
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