54 citations · 110 across the 18 of their papers we have counts for
18 papers
A geometric alternative to dark matter
Colin Rourke
The existence of "dark matter", inferred from the observed rotation curves of galaxies, is a hypothesis which is widely regarded as problematic. This paper proposes an alternative…
The adjunction problem over torsion-free groups
Max Forester, Colin Rourke
In this note we prove injectivity and relative asphericity for "layered" systems of equations over torsion-free groups, when the exponent matrix is invertible over Z. We also give…
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…
A new paradigm for the universe
Colin Rourke
This book provides a completely new approach to understanding the universe. The main idea is that the principal objects in the universe form a spectrum unified by the presence of a…