Journal of Knot Theory and Its Ramifications · 2009 · 17 citations · 13 references
Natural SciencesMathematicsTopologyKnot TheoryFabric Structure AnalysisFinite-type InvariantsGeometric InvariantsInvariantsKnot InvariantsKnot PolynomialsSeparating Invariants
Typical examples of textile structures are separated by finite type invariants of knots in non-trivial (in particular, non-orientable) manifolds. A new series of such invariants is described.
13
On the Vassiliev knot invariants
Dror Bar-Natan · Topology · 1995 · 1K citations
Louis H. Kauffman · European Journal of Combinatorics · 1999 · 1K citations
Knot polynomials and Vassiliev's invariants
Joan S. Birman, Xiao-Song Lin · Inventiones mathematicae · 1993 · 427 citations
The theory of singularities and its applications
Choice Reviews Online · 1992 · 137 citations
Quantization of the Algebra of Chord Diagrams
1997 · 66 citations