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This article is cited in 1 scientific paper (total in 1 paper)
Pseudotoric structures on toric symplectic manifolds
S. A. Belyova, N. A. Tyurinabc a Joint Institute for Nuclear Research, Dubna, Moscow Oblast,
Russia
b Higher School of Economics, Moscow, Russia
c University of Railroad Engineering (MIIT), Moscow, Russia
Abstract:
We prove the existence of a rank-one pseudotoric structure on an arbitrary smooth toric symplectic manifold. As a consequence, we propose a method for constructing Chekanov-type nonstandard Lagrangian tori on arbitrary toric manifolds.
Keywords:
symplectic manifold, toric manifold, pseudotoric structure, Lagrangian submanifold.
Received: 22.11.2012
Citation:
S. A. Belyov, N. A. Tyurin, “Pseudotoric structures on toric symplectic manifolds”, TMF, 175:2 (2013), 147–158; Theoret. and Math. Phys., 175:2 (2013), 571–579
Linking options:
https://www.mathnet.ru/eng/tmf8444https://doi.org/10.4213/tmf8444 https://www.mathnet.ru/eng/tmf/v175/i2/p147
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Abstract page: | 414 | Full-text PDF : | 189 | References: | 102 | First page: | 57 |
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