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This article is cited in 5 scientific papers (total in 5 papers)
Nonstandard Lagrangian tori and pseudotoric structures
N. A. Tyurinabc a Joint Institute for Nuclear Research, Dubna, Moscow Oblast,
Russia
b Higher School of Economics, Moscow, Russia
c 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.
Keywords:
Lagrangian torus, exotic torus, Chekanov torus, pseudotoric structure.
Received: 05.05.2011
Citation:
N. A. Tyurin, “Nonstandard Lagrangian tori and pseudotoric structures”, TMF, 171:2 (2012), 321–325; Theoret. and Math. Phys., 171:2 (2012), 700–703
Linking options:
https://www.mathnet.ru/eng/tmf6911https://doi.org/10.4213/tmf6911 https://www.mathnet.ru/eng/tmf/v171/i2/p321
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Abstract page: | 522 | Full-text PDF : | 162 | References: | 55 | First page: | 25 |
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