8 citations · 14 across the 6 of their papers we have counts for
8 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…
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…
Diagrams and the second homotopy group
Max Forester, Colin Rourke
We use Klyachko's methods [A funny property of sphere and equations over groups, Comm. in Alg. 21 (1993) 2555--2575] (see also Fenn-Rourke, L'Enseignment Math. 42 (1996) 49--74 and…
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…
James bundles
Roger Fenn, Colin Rourke, Brian Sanderson
We study cubical sets without degeneracies, which we call square sets. These sets arise naturally in a number of settings and they have a beautiful intrinsic geometry; in particula…