Luttinger surgery and Kodaira dimension
Geometric Topology
2011-08-04 v2 Symplectic Geometry
Abstract
In this note we show that the Lagrangian Luttinger surgery preserves the symplectic Kodaira dimension. Some constraints on Lagrangian tori in symplectic four manifolds with non-positive Kodaira dimension are also derived.
Cite
@article{arxiv.1108.0479,
title = {Luttinger surgery and Kodaira dimension},
author = {Chung-I Ho and Tian-Jun Li},
journal= {arXiv preprint arXiv:1108.0479},
year = {2011}
}
Comments
23 pages; to appear in Asian Journal of Mathematics