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 preprint.

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