Yevgeny Liokumovich, University of Toronto
Title: Foliations of 3-manifolds of positive scalar curvature by surfaces of controlled size
Abstract: 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.