The flow's Cannon-Thurston map simultaneously induces continuous extensions of all leaves of any almost transverse foliation via the flowspace boundary as universal circle.
Universal circles for quasigeodesic flows
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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.
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Simultaneous universal circles and continuous extension
The flow's Cannon-Thurston map simultaneously induces continuous extensions of all leaves of any almost transverse foliation via the flowspace boundary as universal circle.
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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.