142 citations · 1.3k across the 117 of their papers we have counts for
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Links with trivial Alexander module and nontrivial Milnor invariants
Stavros Garoufalidis
Minor typographical errors fixed. Cochran constructed many links with Alexander module that of the unlink and some nonvanishing Milnor invariants, using as input commutators in a f…
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.