On knot Floer homology and lens space surgeries

  title={On knot Floer homology and lens space surgeries},
  author={Peter S. Ozsvath and Zolt{\'a}n Imre Szab{\'o}},
Abstract In an earlier paper, we used the absolute grading on Heegaard Floer homology HF + to give restrictions on knots in S 3 which admit lens space surgeries. The aim of the present article is to exhibit stronger restrictions on such knots, arising from knot Floer homology. One consequence is that the non-zero coefficients of the Alexander polynomial of such a knot are ± 1 . This information can in turn be used to prove that certain lens spaces are not obtained as integral surgeries on knots… 

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