Taut foliations and Sutured Floer Homology

Geometry Topology Student Seminar
Wednesday, November 15, 2017 - 13:55
1 hour (actually 50 minutes)
Skiles 006
Georgia Tech
It is known that a class of codimension one foliations, namely "taut foliations", have subtle relation with the topology of a 3-manifold. In early 80s, David Gabai introduced the theory of "sutured manifolds" to study these objects and more than 20 years later, Andres Juhasz developed a Floer type theory, namely "Sutured Floer Homology", that turned out to be very useful in answering the question of when a 3-manifold with boundary supports a taut foliation.