142 citations · 206 across the 8 of their papers we have counts for
5 papers · 1 filter
On Knots with trivial Alexander polynomial
Stavros Garoufalidis, Peter Teichner
We use the 2-loop term of the Kontsevich integral to show that there are (many) knots with trivial Alexander polynomial which don't have a Seifert surface whose genus equals the ra…
A surgery view of boundary links
Stavros Garoufalidis, Andrew Kricker
A celebrated theorem of Kirby identifies the set of closed oriented connected 3-manifolds with the set of framed links in modulo two moves. We give a similar description for…
Random walks and the colored Jones function
Stavros Garoufalidis, Martin Loebl
It can be conjectured that the colored Jones function of a knot can be computed in terms of counting paths on the graph of a planar projection of a knot. On the combinatorial level…
Beads: From Lie algebras to Lie groups
Stavros Garoufalidis
The Kontsevich integral of a knot is a powerful invariant which takes values in an algebra of trivalent graphs with legs. Given a Lie algebra, the Kontsevich integral determines an…
Periodicity of Goussarov-Vassiliev knot invariants
Stavros Garoufalidis
The paper is a survey of known periodicity properties of finite type invariants of knots, and their applications.