Tyurin, N. A. Pseudotoric structures and Lagrangian spheres in the flag variety \(F^3\). (English. Russian original) Zbl 1316.53086 Math. Notes 96, No. 3, 458-461 (2014); translation from Mat. Zametki 96, No. 3, 476-479 (2014). The author proves the following result: Any smooth path on the projective line \(L\) which has endpoints \(p_i\) and \(p_j\) and does not pass through \(p_k\) determines a Lagrangian embedding of \(S^3\) in \(F^3\). MSC: 53D12 Lagrangian submanifolds; Maslov index 14M15 Grassmannians, Schubert varieties, flag manifolds Keywords:pseudotoric structure; Lagrangian embedding; flag variety; toric variety; Morse function; Poisson bracket; del Pezzo surface; projective space; Hamiltonian isotopy PDFBibTeX XMLCite \textit{N. A. Tyurin}, Math. Notes 96, No. 3, 458--461 (2014; Zbl 1316.53086); translation from Mat. Zametki 96, No. 3, 476--479 (2014) Full Text: DOI References: [1] Tyurin, N. A., No article title, Teor. Mat. Fiz., 167, 193 (2011) · doi:10.4213/tmf6633 [2] Tyurin, N. A., No article title, Teor. Mat. Fiz., 162, 307 (2010) · doi:10.4213/tmf6473 [3] S. K. Donaldson, in Mathematics: Frontiers and Perspectives (Amer. Math. Soc., Providence, RI, 2000), pp. 55-64. · Zbl 0958.57027 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.