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Conformal Geometry and Dynamics

Published by the American Mathematical Society, the Conformal Geometry and Dynamics (ECGD) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.5.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Fiber structure and local coordinates for the Teichmüller space of a bordered Riemann surface
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by David Radnell and Eric Schippers PDF
Conform. Geom. Dyn. 14 (2010), 14-34 Request permission


We show that the infinite-dimensional Teichmüller space of a Riemann surface whose boundary consists of $n$ closed curves is a holomorphic fiber space over the Teichmüller space of an $n$-punctured surface. Each fiber is a complex Banach manifold modeled on a two-dimensional extension of the universal Teichmüller space. The local model of the fiber, together with the coordinates from internal Schiffer variation, provides new holomorphic local coordinates for the infinite-dimensional Teichmüller space.
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Additional Information
  • David Radnell
  • Affiliation: Department of Mathematics and Statistics, American University of Sharjah, P.O. Box 26666, Sharjah, United Arab Emirates
  • Email:
  • Eric Schippers
  • Affiliation: Department of Mathematics, University of Manitoba, Winnipeg, MB, R3T 2N2, Canada
  • MR Author ID: 651639
  • Email:
  • Received by editor(s): June 17, 2009
  • Published electronically: February 11, 2010
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 14 (2010), 14-34
  • MSC (2010): Primary 30F60, 58B12; Secondary 81T40
  • DOI:
  • MathSciNet review: 2593332