Asian Journal of Mathematics
Volume 16 (2012)
Luttinger surgery and Kodaira dimension
Pages: 299 – 318
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 nonpositive Kodaira dimension are also derived.
Luttinger surgery; Kodaira dimension; framing
2010 Mathematics Subject Classification
53D35, 57R17, 57R57