Geometry and Topology Seminar: "Euler class of taut foliations and Dehn filling"

Abstract: We will discuss the Euler class of co-orientable taut foliations on rational homology spheres. Given a rational homology solid torus $X$, we give a necessary and sufficient condition for the Euler class of taut foliations on Dehn fillings of $X$ that are transverse to the core of the filling solid torus to vanish, from which restrictions on the range of the filling slopes are derived. We will also discuss more specific examples of taut foliations as well as the implications of our results regarding the L-space conjecture.

Host: Michael Landry