Vol. 8, No. 5, 2015

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A simplification of grid equivalence

Nancy Scherich

Vol. 8 (2015), No. 5, 721–734
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.

Keywords
knot theory, grid diagrams
Mathematical Subject Classification 2010
Primary: 57M27
Milestones
Received: 20 November 2012
Revised: 21 October 2014
Accepted: 16 January 2015
Published: 28 September 2015

Communicated by Kenneth S. Berenhaut
Authors
Nancy Scherich
Department of Mathematics
University of California, Santa Barbara
Santa Barbara, CA 93106
United States