Lehmer's question, knots and surface dynamics

Daniel S. Silver; Susan G. Williams

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arXiv · math/0509068

Lehmer's question, knots and surface dynamics

Daniel S. Silver·Susan G. Williams

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Abstract

Lehmer's question is equivalent to one about generalized growth rates of Lefschetz numbers of iterated pseudo-Anosov surface homeomorphisms. One need consider only homeomorphisms that arise as monodromies of fibered knots in lens spaces L(n,1), n>0. Lehmer's question for Perron polynomials is equivalent to one about generalized growth rates of words under injective free group endomorphisms.

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BibTeX RIS

Daniel S. Silver, Susan G. Williams. 2007-08-28. Lehmer's question, knots and surface dynamics. https://arxiv.org/abs/math/0509068

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