Coisotropic Luttinger surgery and some new symplectic 6-manifolds with vanishing canonical class

الأصل · EN

We introduce a surgery operation on symplectic manifolds called coisotropic Luttinger surgery, which generalizes Luttinger surgery on Lagrangian tori in symplectic 4-manifolds. We use it to produce infinitely many distinct symplectic non-Kahler 6-manifolds X with c₁(X)=0 which are not of the form M× F for M a symplectic 4-manifold and F a closed surface.