Turaev showed that there is a well–defined map assigning to an oriented link L in the three–sphere a Spin structure t0 on Σ(L), the two–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 (Σ(L), t0).
Signatures, Heegaard Floer correction terms and quasi-alternating links
LISCA, PAOLO
;
2015-01-01
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 Σ(L), the two–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 (Σ(L), t0).File in questo prodotto:
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