vix.ing · top · new · best · stats · spec

Packing stability for symplectic 4-manifolds

2014/04/16 by Olguţa Buşe, Buse, Olguta, Richard Hind +3 · 1 citation
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1404.4183

openalex publication_date 2014/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that all closed symplectic 4-manifolds have the packing stability property: there are no obstructions beyond volume to embedding a collection of sufficiently small balls. This generalizes a theorem of Biran which gives the same result under the assumption that the symplectic form lies in a rational cohomology class.

Cited by

Related