A nonpolynomially convex isotropic two-torus with no attached discs
Complex Variables
2017-02-14 v2 Symplectic Geometry
Abstract
We show --- with the means of a real-analytic example in --- that Gromov's theorem on the presence of attached holomorphic discs for compact Lagrangian manifolds is not true in the isotropic (subcritical) case, even in the absence of an obvious obstruction, i.e, polynomial convexity.
Keywords
Cite
@article{arxiv.1610.09356,
title = {A nonpolynomially convex isotropic two-torus with no attached discs},
author = {Purvi Gupta},
journal= {arXiv preprint arXiv:1610.09356},
year = {2017}
}
Comments
Reference to a stronger example added; proof simplified