Abstract
Providing some examples of Lagrangian cycles that arise as a generalization of Mironov’s construction to the case of Grassmann manifolds \( \operatorname{Gr}_{{}}(k,n+1) \), we show that these manifolds enjoy all data necessary for this generalization, the natural real structure, and an incomplete toric action. We also provide new concrete examples.
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References
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Funding
The work was carried out as a part of the program of the Mathematical Center of the Kazan (Volga Region) Federal Region (Agreement No. 075–02–2020–1478).
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Translated from Sibirskii Matematicheskii Zhurnal, 2021, Vol. 62, No. 2, pp. 457–465. https://doi.org/10.33048/smzh.2021.62.216
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Tyurin, N.A. Examples of Mironov Cycles in Grassmannians. Sib Math J 62, 370–376 (2021). https://doi.org/10.1134/S0037446621020166
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DOI: https://doi.org/10.1134/S0037446621020166