Polarizations and symplectic isotopies
Emmanuel Opshtein
TL;DR
This paper explores the relationship between symplectic isotopies of open objects and the flexibility of symplectic hypersurfaces, providing connectedness results for spaces of symplectic ellipsoids and packings.
Contribution
It establishes a link between symplectic isotopies and hypersurface flexibility, with new connectedness results for symplectic ellipsoids and packings.
Findings
Connectedness of spaces of symplectic ellipsoids
Connectedness of maximal packings of P^2
Link between isotopies and hypersurface flexibility
Abstract
The aim of this paper is to explain a link between symplectic isotopies of open objects such as balls and flexibility properties of symplectic hypersurfaces. We get connectedness results for spaces of symplectic ellipsoids or maximal packings of .
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Homotopy and Cohomology in Algebraic Topology