English

Ghost bubble censorship

Symplectic Geometry 2022-12-13 v1

Abstract

When a Gromov limit of embedded holomorphic curves is constant on some component of the domain, the non-collapsed component must exhibit some degenerate behavior at the attaching points, such as high multiplicity or vanishing of the holomorphic derivative. Here we show the same holds for maps which are only approximately J-holomorphic.

Keywords

Cite

@article{arxiv.2212.05835,
  title  = {Ghost bubble censorship},
  author = {Tobias Ekholm and Vivek Shende},
  journal= {arXiv preprint arXiv:2212.05835},
  year   = {2022}
}

Comments

33 pages, 0 figures

R2 v1 2026-06-28T07:30:48.635Z