A trace formula for the forcing relation of braids

Details A trace formula for the forcing relation of braids A trace formula for the forcing relation of braids

2005-09-06

arxiv.org/abs/math/0509117v2

Topology 47 (2008), no. 1, 51--70

Mathematics

Dynamical Systems

24 pages, 9 figures

Scientific paper

10.1016/j.top.2007.06.002

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.

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