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Pseudo-Anosov mapping
classes not arising from Penner's construction
Hyunshik Shin and Balázs Strenner |
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Geometry & Topology 19 (2015) 3645–3656
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Abstract |
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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. |
Keywords
pseudo-Anosov, mapping class group, Penner's construction
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Mathematical Subject Classification 2010
Primary: 37E30
Secondary: 57M99, 15A18, 11R32
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References |
Publication
Received: 11 February 2015
Accepted: 12 March 2015
Published: 6 January 2016
Proposed: Benson Farb
Seconded: Ian Agol, David Gabai
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Authors |
| Hyunshik Shin | |
| Department of Mathematical
Sciences KAIST 291 Daehak-ro Yuseong-gu Daejeon 34141 South Korea |
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| http://mathsci.kaist.ac.kr/~hshin | |
| Balázs Strenner | |
| School of Mathematics Institute for Advanced Study Princeton, NJ 08540 USA |
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| http://math.ias.edu/~strenner/ | |
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