5 citations · 16 across the 8 of their papers we have counts for
6 papers · 1 filter
Hamiltonian flows for pseudo-Anosov mapping classes
James Farre
For a given pseudo-Anosov homeomorphism of a closed surface , the action of on the Teichmüller space preserves the Weil-Petersson symplectic form. We giv…
Minimal area surfaces and fibered hyperbolic -manifolds
James Farre, Franco Vargas Pallete
By work of Uhlenbeck, the largest principal curvature of any least area fiber of a hyperbolic -manifold fibering over the circle is bounded below by one. We give a short argumen…
Shear-shape cocycles for measured laminations and ergodic theory of the earthquake flow
Aaron Calderon, James Farre
We extend Mirzakhani's conjugacy between the earthquake and horocycle flows to a bijection, demonstrating conjugacies between these flows on all strata and exhibiting an abundance…
Borel and volume classes for dense representations of discrete groups
James Farre
We show that the bounded Borel class of any dense representation $ρ: G\to \PSL_n\bC$ is non-zero in degree three bounded cohomology and has maximal semi-norm, for any discrete grou…
Relations in Bounded Cohomology
James Farre
We explain some interesting relations in the degree three bounded cohomology of surface groups. Specifically, we show that if two faithful Kleinian surface group representations ar…
Bounded Cohomology of Finitely Generated Kleinian Groups
James Farre
Any action of a group on by isometries yields a class in degree three bounded cohomology by pulling back the volume cocycle to . We prove that the bounded coho…