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Nonstandard Lagrangian tori and pseudotoric structures
Authors:N. A. Tyurin
Affiliation:1. Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
2. Higher School of Economics, Moscow, Russia
3. Moscow State University of Railway Engineering (MIIT), Moscow, Russia
Abstract:We show that exotic Lagrangian tori constructed by Chekanov and Schlenk can be obtained for a large class of toric manifolds. For this, we translate their original construction into the language of pseudotoric structures. As an example, we construct exotic Lagrangian tori on a del Pezzo surface of degree six.
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