Conjugacy invariants for Brouwer mapping classes
Dynamical Systems
2016-03-16 v1 Geometric Topology
Abstract
We give new tools for homotopy Brouwer theory. In particular, we describe a canonical reducing set (the set of "walls") which splits the plane into maximal translation areas and irreducible areas. We then focus on Brouwer mapping classes relatively to four orbits and describe them explicitly by adding to Handel's diagram and to the set of walls a "tangle", which is essentially an isotopy class of simple closed curves in the cylinder minus two points.
Cite
@article{arxiv.1507.02960,
title = {Conjugacy invariants for Brouwer mapping classes},
author = {Juliette Bavard},
journal= {arXiv preprint arXiv:1507.02960},
year = {2016}
}
Comments
56 pages, 40 figures