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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.


On the character variety of the three–holed projective plane
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by Sara Maloni and Frédéric Palesi
Conform. Geom. Dyn. 24 (2020), 68-108
Published electronically: March 3, 2020


We study the (relative) $\mathrm {SL}(2,\mathbb {C})$ character variety of the three-holed projective plane and the action of the mapping class group on it. We describe a domain of discontinuity for this action, which strictly contains the set of primitive stable representations defined by Minsky, and also the set of convex-cocompact characters.
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Bibliographic Information
  • Sara Maloni
  • Affiliation: Department of Mathematics, University of Virginia, Kerchof Hall, Charlottesville, Virginia 22904-4137
  • Email:
  • Frédéric Palesi
  • Affiliation: Aix Marseille Université, CNRS, Centrale Marseille, I2M, UMR 7373, 13453 Marseille, France
  • Email:
  • Received by editor(s): December 21, 2017
  • Received by editor(s) in revised form: July 18, 2019, November 11, 2019, December 16, 2019, and December 19, 2019
  • Published electronically: March 3, 2020
  • Additional Notes: The authors acknowledge support from U.S. National Science Foundation grants DMS 1107452, 1107263, 1107367 RNMS: “Geometric Structures and Representation Varieties” (the GEAR Network). This material is based upon work supported by the National Science Foundation under Grant No. 0932078 000 while the authors were in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the Spring 2015 semester. The authors are grateful to the organizers of the program for the invitations to participate, and to the MSRI and its staff for their hospitality and generous support.
    The first author was partially supported by NSF grants DMS-1506920, DMS-1650811, DMS-1839968 and DMS-1848346.
    The second author was partially supported by the European Research Council under the European Community’s seventh Framework Programme (FP7/2007-2013)/ERC grant agreement n$^{\circ }$ FP7-246918, and by ANR VALET (ANR-13-JS01-0010) and the work has been carried out in the framework of the Labex Archimede (ANR-11-LABX-0033) and of the A*MIDEX project (ANR-11-IDEX-0001-02).
  • © Copyright 2020 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 24 (2020), 68-108
  • MSC (2010): Primary 57M50, 20E05, 37A15
  • DOI:
  • MathSciNet review: 4071233