On the Heegaard Floer Homology of Branched Double-covers
نویسنده
چکیده
Let L ⊂ S be a link. We study the Heegaard Floer homology of the branched double-cover Σ(L) of S, branched along L. When L is an alternating link, ĤF 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 E 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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تاریخ انتشار 2008