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math.GT2023
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…
math.GT2023★ 1 cited
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…