L-space knots

A knot is an L-space knot if it admits a positive Dehn surgery to an L-space, which is a closed, oriented three-manifold such that the rank of HF-hat(Y; Z/2) agrees with the order of H_1(Y; Z). L-spaces are generalizations of lens spaces. The L-space knot property was determined using a program written by Zoltan Szabo, available at: [2].

References

[1] Ozsvath, P. and Szabo, Z. On knot Floer homology and lens space surgeries. Topology 44 (2005), no. 6, 1281-1300. Arxiv.

[2] Szabo, Z. Knot Floer Homology Calculator Knot Floer Homology Calculator