Open Access
Translator Disclaimer
July 2014 A new distinguished form for 3-braids
Emille Davie Lawrence
Osaka J. Math. 51(3): 537-545 (July 2014).

Abstract

We show that every $3$-strand braid has a representative word of a given form, and furthermore, this form allows us, in most cases, to deduce positivity (or negativity) in the $\sigma$-ordering of $B_{3}$. The $\sigma$-ordering of $B_{n}$ was introduced by Patrick Dehornoy in the late 1990's, however, other (equivalent) orderings were discovered soon after by Fenn, Greene, Rolfsen, et al.

Citation

Download Citation

Emille Davie Lawrence. "A new distinguished form for 3-braids." Osaka J. Math. 51 (3) 537 - 545, July 2014.

Information

Published: July 2014
First available in Project Euclid: 23 October 2014

zbMATH: 1304.62147
MathSciNet: MR3272603

Subjects:
Primary: 57M07
Secondary: 20F60

Rights: Copyright © 2014 Osaka University and Osaka City University, Departments of Mathematics

JOURNAL ARTICLE
9 PAGES


SHARE
Vol.51 • No. 3 • July 2014
Back to Top