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Knots in Washington XXIX; 30 years of quandles, 10 years of Khovanov homology
December 4-6, 2009
George Washington University
Washington, DC, USA

Organizers
Jozef H. Przytycki (GWU), Yongwu Rong (GWU, NSF), Radmila Sazdanovic (GWU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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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 document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cazp-11.