A homological recipe for pseudo-Anosovs

2006/09/14 by Dan Margalit, Margalit, Dan, Steven Spallone +1 · 1 citation
Computer Science · Mathematics · #20F36 #57M07 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.math/0609412

openalex publication_date 2006/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a simple explicit construction of pseudo-Anosov mapping classes using an improvement of the homological criterion of Casson-Bleiler.

Citations

• Lehmer's question, knots and surface dynamics

Cited by

• Counting totally real units and eigenvalue patterns in \rmSL_n(\mathbb Z) and \rmSp_2n(\mathbb Z) in thin tubes

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