On the Heegaard Floer homology of branched double-covers |
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| Authors: | Peter Ozsváth Zoltán Szabó |
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| Institution: | a Department of Mathematics, Columbia University, NY 10027, USA
b Department of Mathematics, Princeton University, Princeton, NJ 08540, USA |
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| Abstract: | Let  be a link. We study the Heegaard Floer homology of the branched double-cover Σ(L) of S3, branched along L. When L is an alternating link,  of its branched double-cover has a particularly simple form, determined entirely by the determinant of the link. For the general case, we derive a spectral sequence whose E2 term is a suitable variant of Khovanov's homology for the link L, converging to the Heegaard Floer homology of Σ(L). |
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| Keywords: | Heegaard Floer homology Branched double-covers Khovanov's homology Alternating links |
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