Reconstructing a pseudo-Anosov flow from the orbit space
Recent Progress in Topological and Geometric Structures in Low Dimensions March 23, 2026 - March 27, 2026
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Reconstructing a pseudo-Anosov flow from the orbit space
A tool, introduced in the 90s by Barbot and Fenley and widely used since then, to study (pseudo)-Anosov flows on a 3-manifold M is the orbit space: a topological plane equipped with two transverse foliations with an induced action of the fundamental group of M.
In this talk, I will discuss the inverse problem: Given a general group G acting on a bifoliated plane, how can we recognize that G is a 3-manifold group and the action is induced by a (pseudo)-Anosov flow?
This is joint work with Sergio Fenley and Kathryn Mann
Reconstructing a pseudo-Anosov flow from the orbit space
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