Cube number can detect chirality and Legendrian type of knots

Details Cube number can detect chirality and Legendrian type of knots Cube number can detect chirality and Legendrian type of knots

2010-06-24

arxiv.org/abs/1006.4852v1

Mathematics

Geometric Topology

Scientific paper

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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