A trace formula for the forcing relation of braids

2005/09/30 by Boju Jiang, Hao Zheng · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.DS #math.GT #msc:20F36 #msc:37E30

paper · pdf · doi:10.1016/j.top.2007.06.002

published as Topology 47 (2008), no. 1, 51--70 · 24 pages, 9 figures

arxiv created 2007/06/15 · openalex publication_date 2007/07/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

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.

Citations

• General cycling operations in Garside groups
• ALGORITHMS FOR POSITIVE BRAIDS
• Periodic orbits of period 3 in the disc
• Train-tracks for surface homeomorphisms

Cited by

• Braid Floer homology