Topology Atlas | Conferences

KNOTS in WASHINGTON 10 Japan-USA; workshop in Knot Theory
January 23-30, 2000
George Washington University
Washington, DC, USA

Organizers
Kazuaki Kobayashi, Jozef H. Przytycki, Yongwu Rong, Kouki Taniyama, Tatsuya Tsukamoto, Akira Yasuhara

Conference Homepage


Exchangeable braids
by
Marta Rampichini
Dipartimento di Matematica dell'Università Statale di Milano, Italy
Coauthors: Hugh Morton (Liverpool, UK), Maria Dedò (Milano, Italy)

Two links A, B are exchangeably braided if each of them is a (generalized) braid relative to the other. This situation can be described by a finite set of combiantorial data, extracted from the singular foliation induced by the fibration of B on each fibre of A (or viceversa). If one of the two links is the unknot, then the other one is a classical braid. To express it by a word in the disk-band generators of Bn (cf Birman, Ko, Lee) allows to find an algorithm to identify exchangeable braids. Isotopies of fibres are so translated into conjugations and relations of braid words, with a nice connection between topology and algebra.

Date received: January 20, 2000

Copyright © 2000 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # caea-12.