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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 171, Number 2, Pages 321–325
DOI: https://doi.org/10.4213/tmf6911 (Mi tmf6911) 		 
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
Full-text PDF (343 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf6911
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
English version:
Theoretical and Mathematical Physics, 2012, Volume 171, Issue 2, Pages 700–703
DOI: https://doi.org/10.1007/s11232-012-0067-9
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6911
  • https://www.mathnet.ru/eng/tmf/v171/i2/p321
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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