English

Deformations and transversality of pseudo-holomorphic discs

Complex Variables 2011-03-18 v3 Symplectic Geometry

Abstract

We prove analogs of Thom's transversality theorem and Whitney's theorem on immersions for pseudo-holomorphic discs. We also prove that pseudo-holomorphic discs form a manifold.

Keywords

Cite

@article{arxiv.0909.4899,
  title  = {Deformations and transversality of pseudo-holomorphic discs},
  author = {A. Sukhov and A. Tumanov},
  journal= {arXiv preprint arXiv:0909.4899},
  year   = {2011}
}

Comments

Added Lemma 3.3 on the similarity principle. Improved regularity hypotheses in the statements of the main results

R2 v1 2026-06-21T13:51:00.335Z