Matings of cubic polynomials with a fixed critical point, part I: Thurston obstructions
Document Type
Article
Date of Original Version
1-1-2019
Abstract
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 ∐ g contains a Levy cycle. We end with an appendix to show examples of the obstructions described in the paper.
Publication Title, e.g., Journal
Conformal Geometry and Dynamics
Volume
23
Issue
12
Citation/Publisher Attribution
Sharland, Thomas. "Matings of cubic polynomials with a fixed critical point, part I: Thurston obstructions." Conformal Geometry and Dynamics 23, 12 (2019): 205-220. doi: 10.1090/ecgd/342.
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