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math.DS2012
Pullback invariants of Thurston maps
Sarah Koch, Kevin M. Pilgrim, Nikita Selinger
Associated to a Thurston map with postcritical set are several different invariants obtained via pullback: a relation on the set of free homotopy classes of cu…
math.DS2012
Topological characterization of canonical Thurston obstructions
Nikita Selinger
Let f be an obstructed Thurston map with canonical obstruction Γ_f. We prove the following generalization of Pilgrim's conjecture: if the first-return map F of a periodic component…