Abstract
We define a link surgery spectral sequence for each knot Floer homology group for a knot, , in a three manifold, . When arises as the double cover of an unknot in , and is the double cover of branched over a link, we relate the –page to a version of Khovanov homology for links in an annulus defined by Asaeda, Przytycki and Sikora. Finally we examine the specific cases when the branch locus is a braid, and when it is alternating.
Citation
Lawrence Roberts. "On knot Floer homology in double branched covers." Geom. Topol. 17 (1) 413 - 467, 2013. https://doi.org/10.2140/gt.2013.17.413
Information