Let be a closed three-manifold with trivial first homology, and let be a knot. We give a description of the Heegaard Floer homology of integer surgeries on along in terms of the filtered homotopy type of the knot invariant for . As an illustration of these techniques, we calculate the Heegaard Floer homology groups of non-trivial circle bundles over Riemann surfaces (with coefficients in ).
"Knot Floer homology and integer surgeries." Algebr. Geom. Topol. 8 (1) 101 - 153, 2008. https://doi.org/10.2140/agt.2008.8.101