Work

Hartogs figure and symplectic non-squeezing

Year: 2011

Type: preprint

Abstract: We solve a problem on filling by Levi-flat hypersurfaces for a class of totally real 2-tori in a real 4-manifold with an almost complex structure tamed by an exact symplectic form. As an application we obtain a simple proof of Gromov's non-squeezing theorem in dimension 4 and new results on rigidity of symplectic structures.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1104.1845

Authors: Sukhov, A., Tumanov, A.

Institutions: University of Illinois Urbana-Champaign, Université de Lille, Laboratoire Paul Painlevé

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2949113283

Cites: 4

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Related to: 10