Pullback invariants of Thurston maps
Authors:
- 24 September 2015
- journal article
- Published by American Mathematical Society (AMS) in Transactions of the American Mathematical Society
- Vol. 368 (7) , 4621-4655
Abstract
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 curves in , a linear operator on the free -module generated by , a virtual endomorphism on the pure mapping class group, an analytic self-map of an associated Teichmüller space, and an analytic self-correspondence of an associated moduli space. Viewing these associated maps as invariants of , we investigate relationships between their properties.Keywords
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