Euler class of taut foliations on Q-homology spheres and Dehn fillings

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.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( chat | paper )

---

Geometry and topology online

Series comments: You can also find up-to-date information on the seminar homepage - warwick.ac.uk/fac/sci/maths/research/events/seminars/areas/geomtop/

The talks start five minutes after the hour. Talks are typically 55 minutes long, including time for questions.

---