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math.GT2020
Unoriented Virtual Khovanov Homology
Scott Baldridge, Louis H. Kauffman, Ben McCarty
The Jones polynomial and Khovanov homology of a classical link are invariants that depend upon an initial choice of orientation for the link. In this paper, we give a Khovanov homo…
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.GT2009★ 7 cited
Small examples of cube diagrams of knots
Scott Baldridge, Ben McCarty
In this short note we highlight some of the differences between cube diagrams and grid diagrams. We also list examples of small cube diagrams for all knots up to 7 crossings and gi…