Pseudo-Anosov mapping classes not arising from Penner's construction

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We show that Galois conjugates of stretch factors of pseudo-Anosov mapping classes arising from Penner's construction lie off the unit circle. As a consequence, we show that, for all but a few exceptional surfaces, there are examples of pseudo-Anosov mapping classes so that no power of them arises from Penner's construction. This resolves a conjecture of Penner
Publisher
GEOMETRY & TOPOLOGY PUBLICATIONS
Issue Date
2015
Language
English
Article Type
Article
Keywords

DILATATION; SURFACES; DIFFEOMORPHISMS; MAPS

Citation

GEOMETRY & TOPOLOGY, v.19, no.6, pp.3645 - 3656

ISSN
1465-3060
DOI
10.2140/gt.2015.19.3645
URI
http://hdl.handle.net/10203/212179
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