62 citations · 79 across the 3 of their papers we have counts for
3 papers
math.GT2004★ 8 cited
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…
math.GT2000★ 62 cited
Calculus of clovers and finite type invariants of 3-manifolds
Stavros Garoufalidis, Mikhail Goussarov, Michael Polyak
A clover is a framed trivalent graph with some additional structure, embedded in a 3-manifold. We define surgery on clovers, generalizing surgery on Y-graphs used earlier by the se…
math.GT1998★ 9 cited
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…