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).
2015
Lisca, Paolo; Owens, Brendan
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/853579
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