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arXiv:math/0304105 [math.DS]AbstractReferencesReviewsResources

Topological entropy and Burau representation

Boris Kolev

Published 2003-04-08Version 1

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.

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
Journal: C. R. Acad. Sci. Paris Ser. I Math., 309(13) :835-838, 1989
Categories: math.DS, math.AT
Subjects: 20F36, 54C70, 57M05
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