3 citations · 4 across the 3 of their papers we have counts for
5 papers · 1 filter
Quantum state systems that count perfect matchings
Scott Baldridge, Ben McCarty
In this paper we show how to categorify the -color vertex polynomial, which is based upon one of Roger Penrose's formulas for counting the number of -edge colorings of a plan…
A state sum for the total face color polynomial
Scott Baldridge, Louis H. Kauffman, Ben McCarty
The total face color polynomial is based upon the Poincaré polynomials of a family of filtered -color homologies. It counts the number of -face colorings of ribbon graphs for…
A topological quantum field theory approach to graph coloring
Scott Baldridge, Ben McCarty
In this paper, we use a topological quantum field theory (TQFT) to define families of new homology theories of a -dimensional CW complex of a smooth closed surface. The dimensio…
On the rotation class of knotted Legendrian Tori in
Scott Baldridge, Ben McCarty
In this paper we show how to combinatorically compute the rotation class of a large family of embedded Legendrian tori in with the standard contact form. In particul…
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…