A Real-analytic Nonpolynomially Convex Isotropic Torus with no Attached Discs

作者：Gupta Purvi^*

来源：Canadian Mathematical Bulletin, 2018, 61(2): 289-291.

DOI：10.4153/CMB-2017-031-2

• polynomial hull
• isotropic submanifold
• holomorphic disc

We show by means of an example in C-3 that Gromov's theorem on the presence of attached holomorphic discs for compact Lagrangian manifolds is not true in the subcritical real-analytic case, even in the absence of an obvious obstruction, i.e., polynomial convexity.

• 出版日期2018-6