A construction of pseudo-Anosov homeomorphisms using positive twists

Yvon Verberne

doi:10.2140/agt.2023.23.1601

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arXiv · 1907.05467

A construction of pseudo-Anosov homeomorphisms using positive twists

Yvon Verberne

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Abstract

We introduce a construction of pseudo-Anosov homeomorphisms on n-times punctured spheres and surfaces with higher genus using only sufficiently many positive half-twists. These constructions can produce explicit examples of pseudo-Anosov maps with various number-theoretic properties associated to the stretch factors, including examples where the trace field is not totally real and the Galois conjugates of the stretch factor are on the unit circle.

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Yvon Verberne. 2019-07-11. A construction of pseudo-Anosov homeomorphisms using positive twists. https://doi.org/10.2140/agt.2023.23.1601

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