Luttinger surgery and Kodaira dimension

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.

23 pages; to appear in Asian Journal of Mathematics

References in corpus (2)

• Round handles, logarithmic transforms, and smooth 4-manifolds
• Some open questions about symplectic 4-manifolds, singular plane curves, and braid group factorizations

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