4 papers
Knot polynomials and generalized mutation
Richard P. Anstee, Jozef H. Przytycki, Dale Rolfsen
The motivation for this work was to construct a nontrivial knot with trivial Jones polynomial. Although that open problem has not yielded, the methods are useful for other problems…
Untwisting Heegaard diagrams in 3-space
David Gillman, Dale Rolfsen
We show that if is a handlebody in , with curves which are the attaching curves for a Heegaard splitting of a homology sphere, then t…
Orderable 3-manifold groups
Steven Boyer, Dale Rolfsen, Bert Wiest
We investigate the orderability properties of fundamental groups of 3-dimensional manifolds. Many 3-manifold groups support left-invariant orderings, including all compact P^2-irre…
Geometric subgroups of mapping class groups
L. Paris, D. Rolfsen
This paper is a study of the subgroups of the mapping class groups of Riemann surfaces, called "geometric" subgroups, corresponding to the inclusion of subsurfaces. Our analysis in…