Article thumbnail

BRAID FORCING AND STAR-SHAPED TRAIN TRACKS

By André de Carvalho and Toby Hall

Abstract

Global results are proved about the way in which Boyland’s forcing partial order organizes a set of braid types: those of periodic orbits of Smale’s horseshoe map for which the associated train track is a star. This is a special case of a conjecture introduced in [dCHb], which claims that forcing organizes all horseshoe braid types into linearly ordered families which are, in turn, parameterized by homoclinic orbits to the fixed point of code 0

Year: 2002
OAI identifier: oai:CiteSeerX.psu:10.1.1.234.8231
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://arxiv.org/pdf/math/0204... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.