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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.

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.


Matings of cubic polynomials with a fixed critical point, Part I: Thurston obstructions
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by Thomas Sharland
Conform. Geom. Dyn. 23 (2019), 205-220
Published electronically: October 30, 2019


We prove that if $F$ is a degree $3$ Thurston map with two fixed critical points, then any irreducible obstruction for $F$ contains a Levy cycle. As a corollary, it will be shown that if $f$ and $g$ are two postcritically finite cubic polynomials each having a fixed critical point, then any obstruction to the mating $f \perp \! \! \! \perp g$ contains a Levy cycle. We end with an appendix to show examples of the obstructions described in the paper.
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Bibliographic Information
  • Thomas Sharland
  • Affiliation: Department of Mathematics, University of Rhode Island, Kingston, Rhode Island 02881
  • MR Author ID: 1008780
  • Email:
  • Received by editor(s): June 26, 2018
  • Received by editor(s) in revised form: August 27, 2019, and September 18, 2019
  • Published electronically: October 30, 2019
  • © Copyright 2019 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 23 (2019), 205-220
  • MSC (2010): Primary 37F10; Secondary 37F20
  • DOI:
  • MathSciNet review: 4024933