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math.GT2024
A diagrammatic computation of abelian link invariants
David Cimasoni, Livio Ferretti, Jessica Liu
We show how the multivariable signature and Alexander polynomial of a colored link can be computed from a single symmetric matrix naturally defined from a colored link diagram. In…
math.GT2023
A Proof of the Kashaev Signature Conjecture
Jessica Liu
In 2018 Kashaev introduced a diagrammatic link invariant conjectured to be twice the Levine-Tristram signature. If true, the conjecture would provide a simple way of computing the…