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- W2894588092 abstract "We study homotopically non-trivial spheres of Legendrians in the standard contact ({mathbb {R}}^3) and ({mathbb {S}}^3). We prove that there is a homotopy injection of the contactomorphism group of ({mathbb {S}}^3) into some connected components of the space of Legendrians induced by the natural action. We also provide examples of loops of Legendrians that are non-trivial in the space of formal Legendrians, and thus non-trivial as loops of Legendrians, but which are trivial as loops of smooth embeddings for all the smooth knot types." @default.
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- W2894588092 date "2019-01-01" @default.
- W2894588092 modified "2023-10-18" @default.
- W2894588092 title "Loops of Legendrians in Contact 3-Manifolds" @default.
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- W2894588092 doi "https://doi.org/10.1007/978-3-030-24748-5_20" @default.
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