题目: Reconstruction of Anosov Flows from Infinity

报告人😿：赵伯钧 博士 (魁北克大学)

地点：致远楼108室

时间：261141330261141335年1月3日 10:10-11:10

摘要: The orbit space of a pseudo-Anosov flow is a topological 26114133-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 Barthelmé-Frankel-Mann for describing the orbit spaces of pseudo-Anosov flows, and more recently, Barthelmé-Bonatti-Mann gave a sufficient and necessary condition for completing a bi-foliated plane from the ideal circle. From certain circle actions, we reconstruct flows and manifolds realizing these actions, including all orientable transitive pseudo-Anosov flows in closed 3-manifolds. This offers a geometric model for such flows and manifolds. In addition, our result applies to a case of Cannon’s conjecture, and provides a description for certain flows and their underlying (hyperbolic) 3-manifolds in terms of the distinct triple of the ideal 26114133-sphere. This work is joint with Hyungryul Baik and Chenxi Wu. A similar result was proved independently by Barthelmé-Fenley-Mann.

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