Signatures, Heegaard Floer correction terms and quasi-alternating links
Geometric Topology
2013-05-23 v2
Abstract
Turaev showed that there is a well-defined map assigning to an oriented link L in the three-sphere a Spin structure t_0 on Sigma(L), the 2-fold cover of S^3 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), t_0).
Keywords
Cite
@article{arxiv.1302.3190,
title = {Signatures, Heegaard Floer correction terms and quasi-alternating links},
author = {Paolo Lisca and Brendan Owens},
journal= {arXiv preprint arXiv:1302.3190},
year = {2013}
}
Comments
V2: Improved exposition incorporating referee's suggestions; 3 figures, 6 pages. Accepted for publication by the Proceedings of the American Mathematical Society