Left-orderability of 3-manifold groups and foliations of 3-manifolds, part 1/2 (Ying Hu)

Nearly Carbon Neutral Geometric Topology Conference: June 1-14, 2020.

Abstract: In this talk, we will discuss how the existence of certain nice dimension 1 and dimension 2 foliations of $3$-manifolds can lead to the left-orderability of their fundamental groups. We will give some applications of these observations to cyclic branched covers of a knot. Limitations of the techniques will also be discussed. This is joint work with Steve Boyer and Cameron Gordon.