Mathematics > Symplectic Geometry
[Submitted on 7 Oct 2015 (v1), last revised 21 Aug 2017 (this version, v3)]
Title:Subflexible symplectic manifolds
View PDFAbstract: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.
Submission history
From: Kyler Siegel [view email][v1] Wed, 7 Oct 2015 09:13:28 UTC (965 KB)
[v2] Fri, 4 Dec 2015 14:30:31 UTC (891 KB)
[v3] Mon, 21 Aug 2017 12:35:36 UTC (828 KB)
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