24 citations · 63 across the 19 of their papers we have counts for
22 papers
Ordered bases, order-preserving automorphisms and bi-orderable link groups
Tommy Wuxing Cai, Adam Clay, Dale Rolfsen
We give a new criterion which guarantees that a free group admits a bi-ordering that is invariant under a given automorphism. As an application, we show that the fundamental group…
Toward the group completion of the Burau representation
Jack Morava, Dale Rolfsen
Following Boardman-Vogt, McDuff, Segal, and others, we construct a monoidal topological groupoid or space of finite subsets of the plane, and interpret the Burau representation of…
Ordered groups as a tensor category
Dale Rolfsen
It is a classical theorem that the free product of ordered groups is orderable. In this note we show that, using a method of G. Bergman, an ordering of the free product can be cons…
Braids, orderings and minimal volume cusped hyperbolic 3-manifolds
Eiko Kin, Dale Rolfsen
It is well-known that there is a faithful representation of braid groups on automorphism groups of free groups, and it is also well-known that free groups are bi-orderable. We inve…
1-domination of knots
Michel Boileau, Steven Boyer, Dale Rolfsen +1
We say that a knot in the -sphere {\it -dominates} another if there is a proper degree 1 map between their exteriors, and write .…
Ordered groups and topology
Adam Clay, Dale Rolfsen
This is a draft of a book submitted for publication by the AMS. Its theme is the remarkable interplay, accelerating in the last few decades, between topology and the theory of orde…