Minimal Maslov number of $R$-spaces canonically embedded in Einstein-Kähler $C$-spaces | Vidéo | Carmin.tv

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Minimal Maslov number of $R$-spaces canonically embedded in Einstein-Kähler $C$-spaces

By Yoshihiro Ohnita

Appears in collection : Problèmes variationnels et géométrie des sous-variétés / Variational Problems and the Geometry of Submanifolds

An $R$-space is a compact homogeneous space obtained as an orbit of the isotropy representation of a Riemannian symmetric space. It is known that each $R$-space has the canonical embedding into a Kähler $C$-space as a real form which is a compact embedded totally geodesic Lagrangian submanifold. The minimal Maslov number of Lagrangian submanifolds in symplectic manifolds is an invariant under Hamiltonian isotopies and very fundamental to the study of the Floer homology for intersections of Lagrangian submanifolds. In this talk we provide a Lie theoretic formula for the minimal Maslov number of $R$-spaces canonically embedded in Einstein-Kähler $C$-spaces and discuss several examples of the calculation by the formula.

Information about the video

Date of recording 29/05/2019
Date of publication 18/06/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19533103
Cite this video Ohnita, Yoshihiro (29/05/2019). Minimal Maslov number of $R$-spaces canonically embedded in Einstein-Kähler $C$-spaces. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19533103
URL https://dx.doi.org/10.24350/CIRM.V.19533103

Domain(s)

Bibliography

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Document(s)

https://www.cirm-math.fr/RepOrga/1936/Slides/ohnita.pdf

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