3 papers
math.GT2025
Extended signatures and link concordance
David Cimasoni, Livio Ferretti, Iuliia Popova
The Levine-Tristram signature admits an n-variable extension for n-component links: it was first defined as an integer valued function on , and recently exte…
math.GT2025
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.GT2024
On the Kashaev signature conjecture
David Cimasoni, Livio Ferretti
In 2018, Kashaev introduced a square matrix indexed by the regions of a link diagram, and conjectured that it provides a novel way of computing the Levine-Tristram signature and Al…