| We consider several applications of Heegaard Floer homology to the study of knot concordance.;Using the techniques of bordered Heegaard Floer homology, we compute the concordance invariant tau for a family of satellite knots that generalizes Whitehead doubles.;We also construct an integer lift epsilon of the concordance invariant epsilon. We introduce an interpretation of epsilon in terms of a filtration on C¯F¯ (S3NK) induced by a family of knots mu n ⊂ S3NK..;Finally, we use truncated Heegaard Floer homology to construct a sequence of concordance invariants nun that generalizes previously known concordance invariants nu, nu', and nu+. |
