Topological entropy and Burau representation

Boris Kolev

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Topological entropy and Burau representation

Boris Kolev

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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¶. 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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Boris Kolev. 2003-04-08. Topological entropy and Burau representation. https://arxiv.org/abs/math/0304105

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