A CONCORDANCE INVARIANT FROM THE FLOER HOMOLOGY OF DOUBLE BRANCHED COVERS

@inproceedings{Manolescu2005ACI,
  title={A CONCORDANCE INVARIANT FROM THE FLOER HOMOLOGY OF DOUBLE BRANCHED COVERS},
  author={Ciprian Manolescu and Brittany Owens},
  year={2005}
}
Ozsváth and Szabó defined an analog of the Frøyshov invariant in the form of a correction term for the grading in Heegaard Floer homology. Applying this to the double cover of the 3-sphere branched over a knot K, we obtain an invariant δ of knot concordance. We show that δ is determined by the signature for alternating knots and knots with up to nine crossings, and conjecture a similar relation for all H-thin knots. We also use δ to prove that for all knots K with τ (K) > 0, the positive… CONTINUE READING

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