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28 March 2024
 
  » arxiv » math.GT/0505349

 Article overview


On Plumbed L-spaces
Raif Rustamov ;
Date 17 May 2005
Subject Geometric Topology; Symplectic Geometry | math.GT math.SG
AbstractL-spaces were introduced by Ozsvath and Szabo using the Heegaard Floer Homology. We show that if a negative-definite plumbed three-manifold is an L-space, then it is a link of a rational surface singularity. We also prove that if a negative definite plumbed three-manifold is not an L-space, then it admits a symplectic filling with b_2^+>0. All of the negative-definite plumbed integral homology spheres that are L-spaces are pinned down using these results.
Source arXiv, math.GT/0505349
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