Skip to Main Content

Conformal Geometry and Dynamics

Published by the American Mathematical Society since 1997, the purpose of this electronic-only journal is to provide a forum for mathematical work in related fields broadly described as conformal geometry and dynamics. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.49.

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.


Matrix representations and the Teichmüller space of the twice punctured torus
HTML articles powered by AMS MathViewer

by J. O. Button
Conform. Geom. Dyn. 4 (2000), 97-107
Published electronically: August 23, 2000


We realise the Teichmüller space of the twice-punctured torus as a set of triples of matrices that are suitably normalised. As a consequence, we see the space as a simple open subset of $\mathbb R^4$ which is obtained directly from the matrix entries. We also discuss the connection between this representation and the one in terms of the traces of elements.
Similar Articles
  • Retrieve articles in Conformal Geometry and Dynamics of the American Mathematical Society with MSC (2000): 20H10, 32G15
  • Retrieve articles in all journals with MSC (2000): 20H10, 32G15
Bibliographic Information
  • J. O. Button
  • Affiliation: Wadham College, University of Oxford, OX1 3PN, England, United Kingdom
  • Email:
  • Received by editor(s): August 16, 1999
  • Received by editor(s) in revised form: July 10, 2000
  • Published electronically: August 23, 2000
  • © Copyright 2000 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 4 (2000), 97-107
  • MSC (2000): Primary 20H10; Secondary 32G15
  • DOI:
  • MathSciNet review: 1778790