90 citations · 314 across the 33 of their papers we have counts for
21 papers · 1 filter
Algebraic concordance of links
David Cimasoni, Anthony Conway, Gaetan Simian
Algebraic concordance of knots can be understood from the perspective of Seifert matrices, Blanchfield forms, and homology surgery. We initiate a systematic study of algebraic conc…
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…
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…
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…
On Arf invariants of colored links
David Cimasoni, Gaetan Simian
Several classical knot invariants, such as the Alexander polynomial, the Levine-Tristram signature and the Blanchfield pairing, admit natural extensions from knots to links, and mo…
Torres-type formulas for link signatures
David Cimasoni, Maciej Markiewicz, Wojciech Politarczyk
We investigate the limits of the multivariable signature function of a -component link as some variable tends to via two different approaches: a three-dimensional…