For an Anosov foliation with branching on a hyperbolic manifold, the leftmost universal circle admits a Cannon-Thurston map to the ideal 2-sphere, implying pseudo-Anosov action by the fundamental group.
Depth-one foliations, pseudo-Anosov flows and universal circles.ArXiv e-print 2410.07559
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.GT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Several geometric and dynamical structures on 3-manifolds realize integral points on the boundary of the dual Thurston norm ball, with discussion of known results toward Thurston's Euler class conjecture.
citing papers explorer
-
Cannon--Thurston maps for Anosov foliations
For an Anosov foliation with branching on a hyperbolic manifold, the leftmost universal circle admits a Cannon-Thurston map to the ideal 2-sphere, implying pseudo-Anosov action by the fundamental group.
-
Thurston norm and the Euler class
Several geometric and dynamical structures on 3-manifolds realize integral points on the boundary of the dual Thurston norm ball, with discussion of known results toward Thurston's Euler class conjecture.