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ON STABILIZERS OF SOME TEICHMÜLLER DISKS IN POINTED MAPPING CLASS GROUPS

Published online by Cambridge University Press:  25 August 2010

C. ZHANG
C. ZHANG*
Affiliation:
Department of Mathematical Sciences, Morehouse College, Atlanta, GA 30314, USA e-mail: czhang@morehouse.edu
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Abstract

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We prove that for each Riemann surface of finite analytic type (p, n) with p ≥ 2, there exist uncountably many Teichmüller disks Δ in the Teichmüller space T(S), where S = - {a point a}, with these properties: (1) the natural projection j: T(S) → T() defined by forgetting a induces an isometric embedding of each Δ into T(); and (2) the stabilizer of each Teichmüller disk Δ in the a-pointed mapping class group of S is trivial.

Keywords

30C6030F60
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue 3 , September 2010 , pp. 593 - 604
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

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