On Plumbed L-spaces

Raif Rustamov

On Plumbed L-spaces

Geometric Topology 2007-05-23 v2 Symplectic Geometry

Authors: Raif Rustamov

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.

Keywords

topological spaces floer homology algebraic topology

Cite

@article{arxiv.math/0505349,
  title  = {On Plumbed L-spaces},
  author = {Raif Rustamov},
  journal= {arXiv preprint arXiv:math/0505349},
  year   = {2007}
}

Comments

10 pages; exposition order changed, mistake corrected

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