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- W2755544765 abstract "This is a survey of the joint work [13] (Bull Lond Math Soc 48(5), 802–812, 2016) with Hiroshi Iriyeh (Ibaraki U.), Hui Ma (Tsinghua U.) and Yoshihiro Ohnita (Osaka City U.). The Floer homology of Lagrangian intersections is computed in few cases. Here, we take the image (L=mathscr {G}(N)) of the Gauss map of isoparametric hypersurfaces N in (S^{n+1}), that are minimal Lagrangian submanifolds of the complex hyperquadric (Q^n(mathbb {C})). We call L Hamiltonian non-displaceable if (Lcap varphi (L)ne emptyset ) holds for any Hamiltonian deformation (varphi ). Hamiltonian non-displaceability is needed to define the Floer homology ({ HF}(L)), since ({ HF}(L)) is generated by points in (Lcap varphi (L)). We prove the Hamiltonian non-displaceability of (L=mathscr {G}(N)) for any isoparametric hypersurfaces N with principal curvatures having plural multiplicities. The main result is stated in Sect. 4." @default.
- W2755544765 created "2017-09-25" @default.
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- W2755544765 date "2017-01-01" @default.
- W2755544765 modified "2023-09-27" @default.
- W2755544765 title "Hamiltonian Non-displaceability of the Gauss Images of Isoprametric Hypersurfaces (A Survey)" @default.
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- W2755544765 doi "https://doi.org/10.1007/978-981-10-5556-0_8" @default.
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