Subflexible symplectic manifolds

Murphy, Emmy¹ ; Siegel, Kyler¹

¹ Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, United States

Geometry & topology, Tome 22 (2018) no. 4, pp. 2367-2401.

Résumé

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.

Détail

DOI : 10.2140/gt.2018.22.2367

Classification : 53D35, 32E20
Keywords: symplectic geometry, Weinstein manifolds, h principles, symplectic cohomology, polynomial convexity, exotic symplectic structures

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