English

A Compactness Result for $\mathcal{H}-$holomorphic Curves in Symplectizations

Symplectic Geometry 2018-02-27 v1 Differential Geometry

Abstract

H\mathcal{H}-holomorphic curves are solutions of a specific modification of the pseudoholomorphic curve equation in symplectizations involving a harmonic 11-form as perturbation term. In this paper we compactify the moduli space of H\mathcal{H}-holomorphic curves with a priori bounds on the harmonic 11-forms.

Keywords

Cite

@article{arxiv.1802.08991,
  title  = {A Compactness Result for $\mathcal{H}-$holomorphic Curves in Symplectizations},
  author = {Alexandru Doicu and Urs Fuchs},
  journal= {arXiv preprint arXiv:1802.08991},
  year   = {2018}
}

Comments

54 pages, 9 figures

R2 v1 2026-06-23T00:32:39.519Z