Combining rational maps and controlling obstructions
UNSPECIFIED (1998) Combining rational maps and controlling obstructions. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 18 (Part 1). pp. 221-245. ISSN 0143-3857Full text not available from this repository.
We apply Thurston's characterization of postcritically finite rational maps as branched coverings of the sphere to give new classes of combination theorems for postcritically finite rational maps. Our constructions increase the degree of the map but always yield branched coverings which are equivalent to rational maps, independent of the combinatorics of the original map. The main tool is a general theorem based on the intersection number of arcs and curves which controls the region in the sphere in which an obstruction may reside.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Journal or Publication Title:||ERGODIC THEORY AND DYNAMICAL SYSTEMS|
|Publisher:||CAMBRIDGE UNIV PRESS|
|Number of Pages:||25|
|Page Range:||pp. 221-245|
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