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Conformal Geometry and Dynamics

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On dynamical Teichmüller spaces


Authors: Carlos Cabrera and Peter Makienko
Journal: Conform. Geom. Dyn. 14 (2010), 256-268
MSC (2010): Primary 37F30, 37F10; Secondary 37F50
Published electronically: October 13, 2010
MathSciNet review: 2729366
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Abstract: Following ideas from a preprint of the second author (see Automorphisms of a rational function with disconnected Julia set, Orsay, Preprint, 03 1992), we investigate relations of dynamical Teichmüller spaces with dynamical objects. We also establish some connections with the theory of deformations of inverse limits and laminations in holomorphic dynamics (see J. Diff. Geom. 47 (1997), 17-94).


References [Enhancements On Off] (What's this?)

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Additional Information

Carlos Cabrera
Affiliation: Instituto de Matematicas UNAM, Av Universidad S/N Col Lomas de Chamilpa Cuernavaca, 62100 Cuernavaca MO, Mexico
Email: carlos@matcuer.unam.mx

Peter Makienko
Affiliation: University Nacional Autonoma de Mexico, Institute of Mathematics, Av Universidad s/n, O P 62210 Morelos, Mexico
Email: makienko@matcuer.unam.mx

DOI: https://doi.org/10.1090/S1088-4173-2010-00214-6
Keywords: Holomorphic dynamics, Teichmüller theory.
Received by editor(s): November 30, 2009
Published electronically: October 13, 2010
Additional Notes: This work was partially supported by PAPIIT project IN 100409.
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.