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Knot Floer homology and properly embedded surfaces in four-manifolds
by
Matthew Hedden
M.I.T.
Given a knot, K, in a three-manifold, Y, one can define a sequence of integer-valued invariants of K using the Ozsvath-Szabo Floer homology. In this talk I will discuss the geometric meaning of these invariants. Applications to the smooth link slice problem and the knot theory of complex curves will be considered.
Date received: April 23, 2008
Copyright © 2008 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 # caxb-04.