Signatures, Heegaard Floer correction terms and quasi-alternating links
Abstract
Turaev showed that there is a well-defined map assigning to an oriented link L in the three-sphere a Spin structure t0 on Sigma(L), the 2-fold cover of S3 branched along L. We prove, generalizing results of Manolescu-Owens and Donald-Owens, that for an oriented quasi-alternating link L the signature of L equals minus four times the Heegaard Floer correction term of (Sigma(L), t0).
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