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 (1)

• Some open questions about symplectic 4-manifolds, singular plane curves, and braid group factorizations

Cited by in corpus (1)

• Families of 4-manifolds with nontrivial stable cohomotopy Seiberg-Witten invariants, and normalized Ricci flow