Luttinger surgery and Kodaira dimension

Details Luttinger surgery and Kodaira dimension Luttinger surgery and Kodaira dimension

2011-08-02

arxiv.org/abs/1108.0479v2

Mathematics

Geometric Topology

23 pages; to appear in Asian Journal of Mathematics

Scientific paper

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.

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