## Geometry & Topology

### 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.

#### Article information

Source
Geom. Topol., Volume 22, Number 4 (2018), 2367-2401.

Dates
Revised: 16 July 2017
Accepted: 17 August 2017
First available in Project Euclid: 13 April 2018

https://projecteuclid.org/euclid.gt/1523584825

Digital Object Identifier
doi:10.2140/gt.2018.22.2367

Mathematical Reviews number (MathSciNet)
MR3784524

Zentralblatt MATH identifier
06864340

Subjects
Primary: 53D35: Global theory of symplectic and contact manifolds [See also 57Rxx]
Secondary: 32E20: Polynomial convexity

#### Citation

Murphy, Emmy; Siegel, Kyler. Subflexible symplectic manifolds. Geom. Topol. 22 (2018), no. 4, 2367--2401. doi:10.2140/gt.2018.22.2367. https://projecteuclid.org/euclid.gt/1523584825

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