Foliations of 3-manifolds of positive scalar curvature by surfaces of controlled size

Foliations of 3-manifolds of positive scalar curvature by surfaces of controlled size

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Yevgeny Liokumovich, University of Toronto

Zoom linkhttps://princeton.zoom.us/j/594605776

Let M be a compact 3-manifold with scalar curvature at least 1. We show that there exists a Morse function f on M, such that every connected component of every fiber of f has genus, area and diameter bounded by a universal constant.

This is a joint work with Davi Maximo.