90 citations · 314 across the 33 of their papers we have counts for
9 papers · 1 filter
The Conway function of a splice
David Cimasoni
We give a closed formula for the Conway function of a splice in terms of the Conway function of its splice components. As corollaries, we refine and generalize results of Seifert,…
A Lagrangian representation of tangles
David Cimasoni, Vladimir Turaev
We construct a functor from the category of oriented tangles in R^3 to the category of Hermitian modules and Lagrangian relations over Z[t,t^{-1}]. This functor extends the Burau r…
Long line knots
Mathieu Baillif, David Cimasoni
We study continuous embeddings of the long line L into L^n (n>1) up to ambient isotopy of L^n. We define the direction of an embedding and show that it is (almost) a complete invar…
The Conway potential function of a graph link
David Cimasoni
We give a closed formula for the multivariable Conway potential function of any graph link in a homology sphere. As corollaries, we answer three questions by Walter Neumann about g…
A geometric construction of the Conway potential function
David Cimasoni
We give a geometric construction of the multivariable Conway potential function for colored links. In the case of a single color, it is Kauffman's definition of the Conway polynomi…
L'homologie de Novikov des entrelacs de Waldhausen
David Cimasoni
A graph multilink is a link with multiplicities in a homology 3-sphere whose exterior is a graph manifold. In this Note, we compute the Novikov homology of graph multilinks. As a c…