The geometry of bi-Perron numbers with real or unimodular Galois conjugates

Abstract

Among all bi-Perron numbers, we characterise those all of whose Galois conjugates are real or unimodular as the ones that admit a power which is the stretch factor of a pseudo-Anosov homeomorphism arising from Thurston's construction. This is in turn equivalent to admitting a power which is the spectral radius of a bipartite Coxeter transformation.

12 pages, 1 figure

References in corpus (3)

• Algebraic degrees of pseudo-Anosov stretch factors
• Salem number stretch factors and totally real fields arising from Thurston's construction
• Pseudo-Anosov mappings and toral automorphisms