Topological entropy and Burau representation

Details Topological entropy and Burau representation Topological entropy and Burau representation

2003-04-08

arxiv.org/abs/math/0304105v1

C. R. Acad. Sci. Paris Ser. I Math., 309(13) :835-838, 1989

Mathematics

Dynamical Systems

English translation of "Boris Kolev. Entropie topologique et representation de Burau. C. R. Acad. Sci. Paris Ser. I Math., 3

Scientific paper

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.

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