Monotonic Lagrangian Tori of Standard and Nonstandard Types in Toric and Pseudotoric Fano Varieties
- 作者: Tyurin N.A.1,2
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隶属关系:
- Bogoliubov Laboratory of Theoretical Physics
- Steklov Mathematical Institute of Russian Academy of Sciences
- 期: 卷 307, 编号 1 (2019)
- 页面: 267-280
- 栏目: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175959
- DOI: https://doi.org/10.1134/S0081543819060166
- ID: 175959
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详细
In recent papers we constructed examples of nonstandard Lagrangian tori in compact simply connected toric symplectic manifolds. Using a new “pseudotoric” technique, we explained the appearance of nonstandard Lagrangian tori of Chekanov type and proposed a topological obstruction which separates them from the standard ones. In the present paper we construct nonstandard tori satisfying the Bohr-Sommerfeld condition with respect to the anticanonical class. Then we prove that if there exists a standard monotonic Lagrangian torus in a smooth simply connected toric Fano variety equipped with a canonical symplectic form, then there must exist a monotonic Lagrangian torus of Chekanov type.
作者简介
Nikolai Tyurin
Bogoliubov Laboratory of Theoretical Physics; Steklov Mathematical Institute of Russian Academy of Sciences
编辑信件的主要联系方式.
Email: ntyurin@theor.jinr.ru
俄罗斯联邦, Dubna, Moscow region, 141980; ul. Gubkina 8, Moscow, 119991
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