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

2011/05/18 by Baldridge, Scott, Kirk, Paul
#53D35 (Secondary) #57R17 (Primary) 57M05 #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1105.3519

Abstract

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.

Related

• Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves
• Luttinger surgery and Kodaira dimension
• Constructions of small symplectic 4-manifolds using Luttinger surgery
• Simply Connected Symplectic Calabi-Yau 6-Manifolds
• Symplectic surgeries from singularities