English

A trace formula for the forcing relation of braids

Dynamical Systems 2008-04-23 v2 Geometric Topology

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.

Keywords

Cite

@article{arxiv.math/0509117,
  title  = {A trace formula for the forcing relation of braids},
  author = {Boju Jiang and Hao Zheng},
  journal= {arXiv preprint arXiv:math/0509117},
  year   = {2008}
}

Comments

24 pages, 9 figures