Subflexible symplectic manifolds
Copyright policy )Subflexible symplectic manifolds
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.
Various expository and structural changes. Filled technical gaps pointed out by an anonymous referee
- Massachusetts Institute of Technology United States
h-principles, symplectic cohomology, 53D35, 53D35, 32E20, 32E20, Global theory of symplectic and contact manifolds, Weinstein manifolds, exotic symplectic structures, symplectic geometry, Mathematics - Symplectic Geometry, FOS: Mathematics, Symplectic Geometry (math.SG), h principles, polynomial convexity, Polynomial convexity, rational convexity, meromorphic convexity in several complex variables
h-principles, symplectic cohomology, 53D35, 53D35, 32E20, 32E20, Global theory of symplectic and contact manifolds, Weinstein manifolds, exotic symplectic structures, symplectic geometry, Mathematics - Symplectic Geometry, FOS: Mathematics, Symplectic Geometry (math.SG), h principles, polynomial convexity, Polynomial convexity, rational convexity, meromorphic convexity in several complex variables
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).15 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!