Topology Atlas | Conferences

Knots in Washington XXX; Categorification, Quantum knots and Quantum computing
May 19-21, 2010
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU, UTD), Yongwu Rong (GWU, NSF), Radmila Sazdanovic (MSRI), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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The orbits of Hurwitz action on systems of braids
by
Yoshiro Yaguchi
Hiroshima University

We study Hurwitz action of the n braid group Bn on the n-fold direct product of a braid group Bm, which can be used in study of braided surfaces, surface braids and orientable surface links. We determine the orbit of any n-tuple of the n distinct standard generators of Bn+1. In particular, the number of the elements of every orbit is (n+1)n-1. In addition, we show that any n-tuple of the n distinct standard generators of Bn+1 is transformed into any of those by Hurwitz action together with the action of Bn+1 by conjugation.

Date received: April 8, 2010

Copyright © 2010 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 # cbaf-07.