Signatures, Heegaard Floer correction terms and quasi-alternating links

Lisca, P. and Owens, B. (2015) Signatures, Heegaard Floer correction terms and quasi-alternating links. Proceedings of the American Mathematical Society, 143, pp. 907-915. (doi:10.1090/S0002-9939-2014-12265-9)

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Publisher's URL: http://dx.doi.org/10.1090/S0002-9939-2014-12265-9

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).

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Owens, Dr Brendan
Authors: Lisca, P., and Owens, B.
College/School:College of Science and Engineering > School of Mathematics and Statistics
Journal Name:Proceedings of the American Mathematical Society
Journal Abbr.:Proc. Amer. Math. Soc.
Publisher:American Mathematical Society
ISSN:0002-9939
ISSN (Online):1088-6826
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
564181Alternating links and cobordism groupsBrendan OwensEngineering & Physical Sciences Research Council (EPSRC)EP/I033754/1M&S - MATHEMATICS