2 papers
math.QA2024
Coloring Trivalent Graphs: A Defect TFT Approach
Amit Kumar
We show that the combinatorial matter of graph coloring is, in fact, quantum in the sense of satisfying the sum over all the possible intermediate state properties of a path integr…
math.GT2024
Legendrian knots and multi-crossings
Amit Kumar, Jake Murphy, Brian Naff
It was shown in arXiv:1208.5742 that any smooth knot can be represented by an übercrossing projection, i.e. a knot projection with no crossings aside from a single multi-crossing.…