On Plumbed L-spaces

Details On Plumbed L-spaces On Plumbed L-spaces

2005-05-17

arxiv.org/abs/math/0505349v2

Mathematics

Geometric Topology

10 pages; exposition order changed, mistake corrected

Scientific paper

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.

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