1 citations · 1 across the 2 of their papers we have counts for
5 papers
Genus one Birkhoff sections for geodesic flows on orbifolds
Pierre Dehornoy
For a hyperbolic orientable 2-orbifold of genus with at most conic points, we prove that the geodesic flow on the unitary tangent bundle$\mathrm{T}^1\mathc…
Almost equivalence of suspension Anosov flows
Mario Shannon, Pierre Dehornoy
We provide a written proof of a result due to H. Minakawa, which states that all suspension Anosov flows generated by hyperbolic matrices with positive trace are pairwise almost eq…
Left-handed geodesic flow of spheres of revolution
Pierre Dehornoy, Ana Rechtman
A flow on a 3-manifold is left-handed if any two ergodic invariant measures have negative linking number. We prove that on a 2-sphere of revolution whose curvature is -pinched…
Intersection norms on surfaces and Birkhoff cross sections
Pierre Dehornoy, Marcos Cossarini
For every finite collection of curves on a surface, we define an associated (semi-)norm on the first homology group of the surface. The unit ball of the dual norm is the convex hul…
The cat-bat map, the figure-eight knot, and the five orbifolds
Pierre Dehornoy
These are expository notes in which we explain how one can see some exceptional surgeries connecting the suspension of the cat-bat map and the unit tangent bundles to some hyperbol…