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On The Braid Index of Alternating Braids
by
Pengyu Liu
UNC Charlotte
Coauthors: Yuanan Diao and Gabor Hetyei
We define that a braid diagram is alternating if its closure is an alternating link diagram and an oriented link L is an alternating braid on n strands, if L can be represented by a reduced alternating braid diagram on n strands. In this talk, we show that the braid index of this class of alternating links, alternating braids on n strands, is exactly n.
Date received: March 29, 2016
Copyright © 2016 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 # cbmk-20.