We show that if a positive integral surgery on a knot inside a homology sphere results in an induced knot which has simple Floer homology then . Moreover, for the three-manifold is an –space, and the Heegaard Floer homology groups of are determined by its Alexander polynomial.
"Knots which admit a surgery with simple knot Floer homology groups." Algebr. Geom. Topol. 11 (3) 1243 - 1256, 2011. https://doi.org/10.2140/agt.2011.11.1243