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

Published online by Cambridge University Press:  20 November 2018

Purvi Gupta
Purvi Gupta*
Affiliation:
Department of Mathematics, University of Western Ontario, London, ON N6A 5B7 e-mail: pgupta45@uwo.ca
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Abstract

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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.

Keywords

32V4032E2053D12polynomial hullisotropic submanifoldholomorphic disc
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 61 , Issue 2 , 01 June 2018 , pp. 289 - 291
Copyright
Copyright © Canadian Mathematical Society 2018

References

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