Glasgow Mathematical Journal

Table of Contents - 2010 - Volume 52, Issue 03  

Cambridge Journals Online - CUP Full-Text Page
Glasgow Mathematical Journal (2010), 52:593-604 Cambridge University Press
Copyright © Glasgow Mathematical Journal Trust 2010
doi:10.1017/S0017089510000455

Research Article

ON STABILIZERS OF SOME TEICHMÜLLER DISKS IN POINTED MAPPING CLASS GROUPS

C. ZHANGa1

a1 Department of Mathematical Sciences, Morehouse College, Atlanta, GA 30314, USA e-mail: czhang@morehouse.edu
Article author query
zhang c [Google Scholar]

Abstract

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.

(Received June 28 2009)

(Accepted April 07 2010)

2010 Mathematics Subject Classification30C60; 30F60