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.
We compute (in Mathematica) that ρ(σ2) swaps ( b′ 1,L ′
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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.