English

Gromov compactness for holomorphic discs with totally real boundary conditions

Symplectic Geometry 2015-10-28 v2 Analysis of PDEs

Abstract

We prove that a sequence of holomorphic discs with totally real boundary conditions has a subsequence that Gromov converges to a stable holomorphic map of genus zero with connected boundary provided that the sequence is bounded and has bounded energy.

Keywords

Cite

@article{arxiv.1403.6139,
  title  = {Gromov compactness for holomorphic discs with totally real boundary conditions},
  author = {Urs Frauenfelder and Kai Zehmisch},
  journal= {arXiv preprint arXiv:1403.6139},
  year   = {2015}
}

Comments

To appear in J. Fixed Point Theory Appl