11 citations · 24 across the 7 of their papers we have counts for
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Asymptotic Vassiliev Invariants for Vector Fields
Sebastian Baader, Julien Marche
We analyse the asymptotical growth of Vassiliev invariants on non-periodic flow lines of ergodic vector fields on domains of . More precisely, we show that the asymptotics of…
Asymptotic link invariants for ergodic vector fields
Sebastian Baader
We study the asymptotics of a family of link invariants on the orbits of a smooth volume-preserving ergodic vector field on a compact domain of the 3-space. These invariants, calle…
Gordian distance and Vassiliev invariants
Sebastian Baader
The Gordian distance between two knots measures how many crossing changes are needed to transform one knot into the other. It is known that there are always infinitely many non-equ…
Asymptotic Rasmussen Invariant
Sebastian Baader
We use simple properties of the Rasmussen invariant of knots to study its asymptotic behaviour on the orbits of a smooth volume preserving vector field on a compact domain in the 3…
Slice and Gordian numbers of track knots
Sebastian Baader
We present a class of knots associated with labelled generic immersions of intervals into the plane and compute their Gordian numbers and 4-dimensional invariants. At least 10% of…
A note on Vassiliev invariants of quasipositive knots
Sebastian Baader
It has been known that any Alexander polynomial of a knot can be realized by a quasipositive knot. As a consequence, the Alexander polynomial cannot detect quasipositivity. In this…