Structure and examples of pseudoAnosov flows in graph manifolds and Seifert fibered pieces
Structure and examples of pseudoAnosov flows in graph manifolds and Seifert fibered pieces

Sergio Fenley, Florida State University and Princeton University
Fine Hall 314
We describe an interaction of a pseudoAnosov flow with possible Seifert fibered pieces in the torus decomposition of the underlying manifold: if the fiber is associated to a periodic orbit of the flow, we produce a standard form for the flow in the piece which is a neighborhood of finitely many weakly embedded Birkhoff annuli. A Birkhoff annulus is an annulus so that each boundary component is a closed orbit of the flow and the flow is transverse to the interior of the annulus. Using collections of Birkhoff annuli as a skeleton for some flows, we then produce a very large class of new examples of pseudoAnosov flows in graph manifolds. This is joint work with Thierry Barbot.