English

Analytic filling of totally real tori

Complex Variables 2016-09-20 v2 Symplectic Geometry

Abstract

We prove that any embedded Maslov index two analytic disc attached to a totally real torus in the complex two-dimensional affine space extends to an analytic filling provided that the torus is contained in a regular level set of a strictly plurisubharmonic function.

Keywords

Cite

@article{arxiv.1507.07136,
  title  = {Analytic filling of totally real tori},
  author = {Kai Zehmisch},
  journal= {arXiv preprint arXiv:1507.07136},
  year   = {2016}
}

Comments

to appear in M\"unster J. Math