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Showing 2010 · math.GTShow all
3 papers · 2 filters
math.GT2010
An infinite family of Legendrian torus knots distinguished by cube number
Ben McCarty
For a knot the cube number is a knot invariant defined to be the smallest for which there is a cube diagram of size for . There is also a Legendrian version of this…
math.GT2010★ 3 cited
Cube number can detect chirality and Legendrian type of knots
Ben McCarty
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…
math.GT2010★ 1 cited
Turaev genus, knot signature, and the knot homology concordance invariants
Oliver T. Dasbach, Adam M. Lowrance
We give bounds on knot signature, the Ozsvath-Szabo tau invariant, and the Rasmussen s invariant in terms of the Turaev genus of the knot.