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math.GT2000
On the Existence of Finite Type Link Homotopy Invariants
Blake Mellor, Dylan Thurston
We show that for links with at most 5 components, the only finite type homotopy invariants are products of the linking numbers. In contrast, we show that for links with at least 9…
math.GT2000
A few weight systems arising from intersection graphs
Blake Mellor
We show that the adjacency matrices of the intersection graphs of chord diagrams satisfy the 2-term relations of Bar-Natan and Garoufalides [bg], and hence give rise to weight syst…