Applications of the knot Floer complex to concordance

Geometry Topology Seminar
Monday, November 14, 2011 - 2:00pm
1 hour (actually 50 minutes)
Skiles 005
Columbia University
We will use a new concordance invariant, epsilon, associated to the knot Floer complex, to define a smooth concordance homomorphism. Applications include a new infinite family of smoothly independent topologically slice knots, bounds on the concordance genus, and information about tau of satellites. We will also discuss various algebraic properties of this construction.