Canonical Thurston obstructions for sub-hyperbolic semi-rational branched coverings

Authors:
Tao Chen and Yunping Jiang

Journal:
Conform. Geom. Dyn. **17** (2013), 6-25

MSC (2010):
Primary 37F30, 37F20, 37F10, 30F30

Published electronically:
January 23, 2013

MathSciNet review:
3010347

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

**Tao Chen**

Affiliation:
Department of Mathematics, CUNY Graduate Center, 365 Fifth Avenue, New York, New York 10016

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

Email:
yunping.jiang@qc.cuny.edu

DOI:
http://dx.doi.org/10.1090/S1088-4173-2013-00250-6

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.

Article copyright:
© Copyright 2013
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.