On Plumbed L-spaces

Abstract

L-spaces were introduced by Ozsvath and Szabo using the Heegaard Floer Homology. In the quest for L-spaces we consider links of isolated complete intersection surface singularities. We show that if such a manifold is an L-space, then it is a link of a rational singularity. We also prove that if it is not an L-space then it admits a symplectic filling with $b_2^{+}>0$. Based on these results we pin down all integral homology sphere L-spaces in this realm.

10 pages; exposition order changed, mistake corrected

References in corpus (1)

• Surgery formula for the renormalized Euler characteristic of Heegaard Floer homology