8 citations · 8 across the 1 of their papers we have counts for
4 papers
Problems on invariants of knots and 3-manifolds
J. E. Andersen, N. Askitas, D. Bar-Natan +57
This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing ope…
Cubic complexes and finite type invariants
Sergei Matveev, Michael Polyak
Cubic complexes appear in the theory of finite type invariants so often that one can ascribe them to basic notions of the theory. In this paper we begin the exposition of finite ty…
On the Casson knot invariant
Michael Polyak, Oleg Viro
We study the Vassiliev knot invariant v_2 of degree 2. We present it via the degrees of maps of various configuration spaces related to a knot to products of spheres. This gives ri…
Finite Type Invariants of Classical and Virtual Knots
M. Goussarov, M. Polyak, O. Viro
We observe that any knot invariant extends to virtual knots. The isotopy classification problem for virtual knots is reduced to an algebraic problem formulated in terms of an algeb…