English

Packing stability for symplectic $4$-manifolds

Symplectic Geometry 2014-04-17 v1

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.

Keywords

Cite

@article{arxiv.1404.4183,
  title  = {Packing stability for symplectic $4$-manifolds},
  author = {Olguta Buse and Richard Hind and Emmanuel Opshtein},
  journal= {arXiv preprint arXiv:1404.4183},
  year   = {2014}
}
R2 v1 2026-06-22T03:52:05.146Z