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- W4297990570 abstract "We prove a coisotropic intersection result and deduce the following: 1. Lower bounds on the displacement energy of a subset of a symplectic manifold, in particular a sharp stable energy-Gromov-width inequality. 2. A stable non-squeezing result for neighborhoods of products of unit spheres. 3. Existence of a badly squeezable set in $mathbb{R}^{2n}$ of Hausdorff dimension at most $d$, for every $ngeq2$ and $dgeq n$. 4. Existence of a stably exotic symplectic form on $mathbb{R}^{2n}$, for every $ngeq2$. 5. Non-triviality of a new capacity, which is based on the minimal symplectic area of a regular coisotropic submanifold of dimension $d$." @default.
- W4297990570 created "2022-10-01" @default.
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- W4297990570 date "2011-01-05" @default.
- W4297990570 modified "2023-09-24" @default.
- W4297990570 title "Coisotropic Displacement and Small Subsets of a Symplectic Manifold" @default.
- W4297990570 doi "https://doi.org/10.48550/arxiv.1101.0920" @default.
- W4297990570 hasPublicationYear "2011" @default.
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