Cube number can detect chirality and Legendrian type of knots

Published 24 Jun 2010 in math.GT | (1006.4852v1)

Abstract: For a knot K the cube number is a knot invariant defined to be the smallest n for which there is a cube diagram of size n for K. We will show that the cube number detects chirality in all cases computed thus far, and distinguishes certain legendrian knots.

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Ben McCarty

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