|
Organizers |
Slicing Mixed Bing-Whitehead Doubles and Bordered Heegaard Floer Homology
by
Adam Levine
Columbia University
Using bordered Heegaard Floer homology, we give a wide class of links that are topologically but not smoothly slice: specifically, the all-positive Whitehead double of any iterated Bing double of any knot K with tau(K)>0. We also show that the all-positive Whitehead double of any link in the family of generalized Borromean rings is not smoothly slice; whether such links are topologically slice remains a major open question in the topology of four-manifolds.
Date received: November 23, 2009
Copyright © 2009 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cazp-11.