2015/10/31 by Emmy Murphy, Kyler Siegel · 1 citation
Mathematics · #Class (philosophy) #Complex manifold #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Gromov–Witten invariant #Holomorphic function #Manifold (fluid mechanics) #Symplectic geometry #Symplectic manifold #Symplectomorphism #math.SG #msc:32E20 #msc:53D35
paper · pdf · doi:10.2140/gt.2018.22.2367
published as Geom. Topol. 22 (2018) 2367-2401 · Various expository and structural changes. Filled technical gaps pointed out by an anonymous referee
openalex created_date 2016/06/24 · arxiv created 2017/08/21 · openalex publication_date 2018/04/05 · arxiv updated 2018/04/18 · openalex updated_date 2026/08/05
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.