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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.

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Canonical Thurston obstructions for sub-hyperbolic semi-rational branched coverings
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by Tao Chen and Yunping Jiang
Conform. Geom. Dyn. 17 (2013), 6-25
DOI: https://doi.org/10.1090/S1088-4173-2013-00250-6
Published electronically: January 23, 2013

Abstract:

We prove that the canonical Thurston obstruction for a sub-hyper- bolic semi-rational branched covering exists if the branched covering is not CLH-equivalent to a rational map.
References
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Bibliographic Information
  • Tao Chen
  • Affiliation: Department of Mathematics, CUNY Graduate Center, 365 Fifth Avenue, New York, New York 10016
  • MR Author ID: 1004078
  • Email: chentaofdh@gmail.com
  • Yunping Jiang
  • Affiliation: Department of Mathematics, Queens College of CUNY, 65-30 Kissena Blvd, Flushing, NY 11367 and Department of Mathematics, CUNY Graduate Center, 365 Fifth Avenue, New York, New York 10016
  • MR Author ID: 238389
  • Email: yunping.jiang@qc.cuny.edu
  • Received by editor(s): March 19, 2012
  • Published electronically: January 23, 2013
  • Additional Notes: The second author is partially supported by the collaboration grant (#199837) from the Simons Foundation, the CUNY collaborative incentive research grant (#1861), and awards from PSC-CUNY. This research is also partially supported by the collaboration grant (#11171121) from the NSF of China and a collaboration grant from the Academy of Mathematics and Systems Science and the Morningside Center of Mathematics at the Chinese Academy of Sciences.
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 17 (2013), 6-25
  • MSC (2010): Primary 37F30, 37F20, 37F10, 30F30
  • DOI: https://doi.org/10.1090/S1088-4173-2013-00250-6
  • MathSciNet review: 3010347