The annulus property of simple holomorphic discs
Symplectic Geometry
2019-03-12 v3 Analysis of PDEs
Abstract
We show that any simple holomorphic disc admits the annulus property, i.e., each interior point is surrounded by an arbitrary small annulus consisting entirely of injective points. As an application we show that interior singularities of holomorphic discs can be resolved after slight perturbation of the almost complex structure. Moreover, for boundary points the analogue notion, the half-annulus property, is introduced and studied in detail.
Cite
@article{arxiv.1003.1842,
title = {The annulus property of simple holomorphic discs},
author = {Kai Zehmisch},
journal= {arXiv preprint arXiv:1003.1842},
year = {2019}
}
Comments
23 pages, no figures, article rewritten, to appear in J. Symplectic Geom