A Real-analytic Nonpolynomially Convex Isotropic Torus with no Attached Discs
Canadian mathematical bulletin, Tome 61 (2018) no. 2, pp. 289-291
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We showbymeans of an example in ${{\mathbb{C}}^{3}}$ that Gromov’s theoremon the presence of attached holomorphic discs for compact Lagrangianmanifolds is not true in the subcritical real-analytic case, even in the absence of an obvious obstruction, i.e., polynomial convexity.
Mots-clés :
32V40, 32E20, 53D12, polynomial hull, isotropic submanifold, holomorphic disc
Gupta, Purvi. A Real-analytic Nonpolynomially Convex Isotropic Torus with no Attached Discs. Canadian mathematical bulletin, Tome 61 (2018) no. 2, pp. 289-291. doi: 10.4153/CMB-2017-031-2
@article{10_4153_CMB_2017_031_2,
author = {Gupta, Purvi},
title = {A {Real-analytic} {Nonpolynomially} {Convex} {Isotropic} {Torus} with no {Attached} {Discs}},
journal = {Canadian mathematical bulletin},
pages = {289--291},
year = {2018},
volume = {61},
number = {2},
doi = {10.4153/CMB-2017-031-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-031-2/}
}
TY - JOUR AU - Gupta, Purvi TI - A Real-analytic Nonpolynomially Convex Isotropic Torus with no Attached Discs JO - Canadian mathematical bulletin PY - 2018 SP - 289 EP - 291 VL - 61 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-031-2/ DO - 10.4153/CMB-2017-031-2 ID - 10_4153_CMB_2017_031_2 ER -
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