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JOURNALS // Trudy Moskovskogo Matematicheskogo Obshchestva // Archive

Tr. Mosk. Mat. Obs., 2024 Volume 85, Issue 1, Pages 27–38 (Mi mmo691)

Unknotting Lagrangian $\mathrm{S}^1\times\mathrm{S}^{n-1}$ in $\mathbb{R}^{2n}$

S. Nemirovskiab

a Fakultät für Mathematik, Ruhr-Universität Bochum, Germany
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Abstract: Lagrangian embeddings $\mathrm{S}^1\times\mathrm{S}^{n-1}\hookrightarrow\mathbb{R}^{2n}$ are classified up to smooth isotopy for all $n\ge 3$. References: 22 entries.

Key words and phrases: Lagrangian submanifold, smooth embedding, Luttinger surgery.

UDC: 515.164.6

MSC: 57R17, 57R40, 53D12

Received: 21.08.2024

Language: English



© Steklov Math. Inst. of RAS, 2025