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ON PRODUCTS OF PSEUDO-ANOSOV MAPS AND DEHN TWISTS OF RIEMANN SURFACES WITH PUNCTURES

Part of: Deformations of analytic structures

Published online by Cambridge University Press:  26 April 2010

C. ZHANG
C. ZHANG*
Affiliation:
Department of Mathematics, Morehouse College, Atlanta, GA 30314, USA (email: [email protected])
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Abstract

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Let S be a Riemann surface of type (p,n) with 3p+n>4 and n≥1. We investigate products of some pseudo-Anosov maps θ and Dehn twists tα on S, and prove that under certain conditions the products tkα∘θ are pseudo-Anosov for all integers k. We also give examples that show that tkα∘θ are not pseudo-Anosov for some integers k.

Keywords

Riemann surfacesDehn twistspseudo-Anosov mapsTeichmüller spaces

MSC classification

Secondary: 32G15: Moduli of Riemann surfaces, Teichmüller theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 88 , Issue 3 , June 2010 , pp. 413 - 428
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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