researchseminars.org

Ying Hu (UNO)
2020-12-03 15:30 - 16:00 UTC | https://researchseminars.org/talk/GaTO/38/
Title: Euler class of taut foliations on Q-homology spheres and Dehn fillings (https://researchseminars.org/talk/GaTO/38/)
by Ying Hu (UNO) as part of Geometry and topology online

Abstract

The Euler class of an oriented plane field
over a three-manifold is a second cohomology class, which
determines the plane field up to isomorphism. In this talk,
we will discuss the Euler class of taut foliations on a
\(\QQ\)-homology sphere. We view \(\QQ\)-homology spheres as
Dehn fillings on knot manifolds and give necessary and
sufficient conditions for the Euler class of taut foliations
on such manifolds to vanish. We will also apply these results
to study the orderability of three-manifold groups.
