Subflexible symplectic manifolds

Abstract

We introduce a class of Weinstein domains which are sublevel sets of flexible Weinstein manifolds but are not themselves flexible. These manifolds exhibit rather subtle behavior with respect to both holomorphic curve invariants and symplectic flexibility. We construct a large class of examples and prove that every flexible Weinstein manifold can be Weinstein homotoped to have a nonflexible sublevel set.

arXiv commentVarious expository and structural changes. Filled technical gaps pointed out by an anonymous referee

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Cited by in corpus (9)

• Legendrian Fronts for Affine Varieties
• Maximal contact and symplectic structures
• Simplifying Weinstein Morse functions
• Vanishing of Symplectic Homology and Obstruction to Flexible Fillability
• Symplectic fillings of asymptotically dynamically convex manifolds I
• Stabilized convex symplectic manifolds are Weinstein
• Contact open books with flexible pages
• Reduced symplectic homology and string topology
• Weinstein presentations for high-dimensional antisurgery