4 papers
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…
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…
The Alexander module of links at infinity
David Cimasoni
Walter Neumann showed that the topology of a ``regular'' algebraic curve V in C^2 is determined up to proper isotopy by some link in S^3 called the link at infinity of V. In this n…
Computing the writhe of a knot
David Cimasoni
We study the variation of the Tait number of a closed space curve according to its different projections. The results are used to compute the writhe of a knot, leading to a closed…