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- W3210052023 abstract "(Non-)displaceability of fibers of integrable systems has been an important problem in symplectic geometry. In this paper, for a large class of classical Liouville integrable systems containing the Lagrangian top, the Kovalevskaya top and the C. Neumann problem, we find a non-displaceable fiber for each of them. Moreover, we show that the non-displaceable fiber which we detect is the unique fiber which is non-displaceable from the zero-section. As a special case of this result, we also show the existence of a singular level set of a convex Hamiltonian, which is non-displaceable from the zero-section. To prove these results, we use the notion of superheaviness introduced by Entov and Polterovich." @default.
- W3210052023 created "2021-11-08" @default.
- W3210052023 creator A5058458566 @default.
- W3210052023 creator A5090911434 @default.
- W3210052023 date "2022-07-22" @default.
- W3210052023 modified "2023-09-26" @default.
- W3210052023 title "Rigid fibers of integrable systems on cotangent bundles" @default.
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- W3210052023 doi "https://doi.org/10.2969/jmsj/84278427" @default.
- W3210052023 hasPublicationYear "2022" @default.
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