54 citations · 88 across the 9 of their papers we have counts for
9 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…
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…
The compression theorem III: applications
Colin Rourke, Brian Sanderson
This is the third of three papers about the Compression Theorem: if M^m is embedded in Q^q X R with a normal vector field and if q-m > 0, then the given vector field can be straigh…
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…
The compression theorem II: directed embeddings
Colin Rourke, Brian Sanderson
This is the second of three papers about the Compression Theorem. We give proofs of Gromov's theorem on directed embeddings [M Gromov, Partial differential relations, Springer--Ver…