Topological entropy and Burau representation
Dynamical Systems
2010-10-01 v1 Algebraic Topology
Abstract
Let f be an orientation-preserving homeomorphism of the disk D, P a finite invariant subset and [f] the isotopy class of f in D\P. We give a non trivial lower bound of the topological entropy for maps in [f], using the spectral radius of some specializations in GL(n,C) of the Burau matrix associated with [f] and we discuss some examples.
Cite
@article{arxiv.math/0304105,
title = {Topological entropy and Burau representation},
author = {Boris Kolev},
journal= {arXiv preprint arXiv:math/0304105},
year = {2010}
}
Comments
English translation of "Boris Kolev. Entropie topologique et representation de Burau. C. R. Acad. Sci. Paris Ser. I Math., 309(13):835-838, 1989. " with examples and commentaries added