Topological entropy and Burau representation
classification
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math.AT
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burauentropysometopologicalassociatedboundclassdiscuss
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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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