Polarizations and symplectic isotopies

2009/11/18 by Emmanuel Opshtein, Opshtein, Emmanuel · 1 citation
Mathematics · #53D05 #53D42 #57R52 #FOS: Mathematics #Symplectic Geometry (math.SG) #math.SG #msc:53D05 #msc:53D42 #msc:57R52

paper · pdf · doi:10.48550/arxiv.0911.3601

(v4) with respect to (v3) : minor modification of bibliography. 24 pages

arxiv created 2010/11/30 · arxiv updated 2010/12/01

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 P².

Cited by

• Legendrian barriers in prequantization bundles

Related

• Singular polarizations and symplectic embeddings
• A new approach to the symplectic isotopy problem
• Dax invariants, light bulbs, and isotopies of symplectic structures
• Liouville polarizations and the rigidity of their Lagrangian skeleta in dimension 4
• Lagrangian spheres in S² x S²