English

Holomorphic curves in exploded manifolds: Compactness

Symplectic Geometry 2014-08-15 v2

Abstract

This paper establishes compactness results for the moduli stack of holomorphic curves in suitable exploded manifolds. This result together with the analysis in arXiv:0902.0087 allows the definition of Gromov Witten invariants of these exploded manifolds.

Keywords

Cite

@article{arxiv.0911.2241,
  title  = {Holomorphic curves in exploded manifolds: Compactness},
  author = {Brett Parker},
  journal= {arXiv preprint arXiv:0911.2241},
  year   = {2014}
}

Comments

76 pages. In v2, compactness is proved using more practical to verify assumptions, and there is more focus on $\dbar$-log compatible almost complex structures. arXiv admin note: text overlap with arXiv:0706.3917

R2 v1 2026-06-21T14:10:28.439Z