%0 Journal Article %T Luttinger surgery and Kodaira dimension %A Chung-I Ho %A Tian-Jun Li %J Mathematics %D 2011 %I arXiv %X 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. %U http://arxiv.org/abs/1108.0479v2