Abstract
An infinite family of generalized pseudo-Anosov homeomorphisms of the sphere is constructed, and their invariant foliations and singular orbits are described explicitly by means of generalized train tracks. The complex strucure induced by the invariant foliations is described, and is shown to make into a complex sphere. The generalized pseudo-Anosovs thus become quasiconformal automorphisms of the Riemann sphere, providing a complexification of the unimodal family which differs from that of the Fatou/Julia theory.
Citation
André de Carvalho. Toby Hall. "Unimodal generalized pseudo-Anosov maps." Geom. Topol. 8 (3) 1127 - 1188, 2004. https://doi.org/10.2140/gt.2004.8.1127
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