8 citations · 14 across the 6 of their papers we have counts for
6 papers · 1 filter
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…
Markov's theorem in 3--manifolds
Sofia Lambropoulou, Colin P. Rourke
In this paper we first give a one-move version of Markov's braid theorem for knot isotopy in that sharpens the classical theorem. Then a relative version of Markov's theorem…
Algebraic Markov equivalence for links in 3-manifolds
Sofia Lambropoulou, Colin P. Rourke
Let denote the classical braid group on strands and let the {\em mixed braid group} be the subgroup of comprising braids for which the first stran…
The rack space
Roger Fenn, Colin Rourke, Brian Sanderson
The main result of this paper is a new classification theorem for links (smooth embeddings in codimension 2). The classifying space is the rack space (defined in [Trunks and classi…
A new classification of links and some calculations using it
Colin Rourke, Brian Sanderson
A new classification theorem for links by the authors and Roger Fenn leads to computable link invariants. As an illustration we distinguish the left and right trefoils and recover…
Equivariant configuration spaces
Colin Rourke, Brian Sanderson
We use the compression theorem (arxiv:math.GT/9712235) cf section 7, to prove results for equivariant configuration spaces analogous to the well-known non-equivariant results of Ma…