|Coordinates:||JH Michell Theatre in the Richard Berry Building|
|Speaker:||Michel Boileau (Institut de Mathematiques de Toulouse, Universite Paul Sabatier)|
|Title:||Graph manifolds which are integral homology 3-spheres and taut foliations|
(Joint work with Steve Boyer.)
We show that a graph manifold, which is an integral homology 3-sphere and is neither the 3-sphere or the Poincare sphere, admits a taut foliation which is transverse to the fibers in each Seifert piece. This result gives a new proof that such a manifold has a left-orderable fundamental group and is not an L-space.