English

Regularization of almost complex structures and and gluing holomorphic discs to tori

Complex Variables 2010-05-07 v5 Symplectic Geometry

Abstract

We prove a result on removing singularities of almost complex structures pulled back by a non-diffeomorphic map. As an application we prove the existence of global J-holomorphic discs with boundaries attached to real tori.

Keywords

Cite

@article{arxiv.0809.4651,
  title  = {Regularization of almost complex structures and and gluing holomorphic discs to tori},
  author = {A. Sukhov and A. Tumanov},
  journal= {arXiv preprint arXiv:0809.4651},
  year   = {2010}
}

Comments

Final version. To appear in Ann. Sc. Norm. Sup. Pisa. 22 pages.

R2 v1 2026-06-21T11:24:36.430Z