The Barbot component B of DFR is homeomorphic to R² × [0,∞), with boundary parametrizing Pappus representations and interior extending Anosov representations from prior work via two shearing operations encoded by foliations of B.
The key obser- vation is that the attracting rays of γ and γ′ point in the about the same rather than about opposite directions
1 Pith paper cite this work. Polarity classification is still indexing.
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Patterns of Geodesics, Shearing, and Anosov Representations of the Modular Group
The Barbot component B of DFR is homeomorphic to R² × [0,∞), with boundary parametrizing Pappus representations and interior extending Anosov representations from prior work via two shearing operations encoded by foliations of B.