A trace formula for the forcing relation of braids
arXiv:math/0509117 · doi:10.1016/j.top.2007.06.002
Abstract
The forcing relation of braids has been introduced for a 2-dimensional analogue of the Sharkovskii order on periods for maps of the interval. In this paper, by making use of the Nielsen fixed point theory and a representation of braid groups, we deduce a trace formula for the computation of the forcing order.
24 pages, 9 figures