香蕉视频

Title: Reconstruction of Anosov flows from infinity.

Abstract: The orbit space of a pseudo-Anosov flow is a topological 2-plane with a pair of transverse (possibly singular) foliations, associated with a well-defined ideal circle introduced by Fenley. Bi-foliated planes were introduced by Barthelm茅-Frankel-Mann for describing the orbit spaces of pseudo-Anosov flows, and more recently, Barthelm茅-Bonatti-Mann gave a sufficient and necessary condition for reconstructing a bi-foliated plane from its infinity data. From certain circle actions with infinity data, we reconstruct flows and manifolds realizing these actions, including all orientable transitive pseudo-Anosov flows in closed 3-manifolds. This gives a geometric model for such flows and manifolds, applies to a special case of Cannon鈥檚 conjecture and gives a description for certain hyperbolic 3-manifolds in terms of the distinct (ordered) triple of the ideal 2-sphere. This work is joint with Hyungryul Baik and Chenxi Wu. A similar result was proved independently by Barthelm茅-Fenley-Mann.

We will gather for our weekly seminar teatime right after the talk.