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Topology/Geometry Seminar

Fibrations, depth 1 foliations, and branched surfaces

Chi Cheuk Tsang (UC Berkeley)

Location:  Hill Center, Room 705
Date & time: Tuesday, 27 September 2022 at 4:00PM - 5:00PM

A depth 1 foliation on a 3-manifold is a foliation having finitely many compact leaves and with all other leaves spiraling into the compact leaves. These are a natural extension when considering fibrations of 3-manifolds over S^1, and as shown in work of Cantwell, Conlon, and Fenley, share a lot of the same characteristics. In this talk, we will first recall how the recent theory of veering branched surfaces offers a neat package of much that is known about fibrations, and explain how these can be generalized to depth 1 foliations, providing a new way of studying finite depth foliations and their associated big mapping classes. This is joint work with Michael Landry.