3 citations · 6 across the 4 of their papers we have counts for
13 papers · 1 filter
The topology of 3-manifolds, Heegaard distance and the mapping class group of a 2-manifold
Joan S. Birman
This article is the author's contribution to the volume "Problems on mapping class groups and related topics" which will be published in December 2006, with Benson Farb as Editor.…
Braids: A Survey
Joan S. Birman, Tara E. Brendle
This article is about Artin's braid group and its role in knot theory. We set ourselves two goals: (i) to provide enough of the essential background so that our review would be acc…
Braids, knots and contact structures
Joan S. Birman
These notes were prepared to supplement the talk that I gave on Feb 19, 2004, at the First East Asian School of Knots and Related Topics, Seoul, South Korea. In this article I revi…
Obstructions to trivializing a knot
Joan S. Birman, John A. Moody
The recent proof by Bigelow and Krammer that the braid groups are linear opens the possibility of applications to the study of knots and links. It was proved by the first author an…
Stabilization in the Braid Groups (with applications to transverse knots)
Joan S. Birman, William W. Menasco
Withdrawn and replaced by two related manuscripts: (1) "Stabilization in the braid groups I:MTWS", published in Geometry and Topology Volume 10 (2006), 413-540, arXiv:math.GT/03102…
On Markov's Theorem
Joan S. Birman, William W. Menasco
We give a new proof of Markov's classical theorem relating any two closed braid representations of the same knot or link. The proof is based upon ideas in a forthcoming paper by th…