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Talks by Reiko Miyaoka

Moment maps of the spin action and the Cartan-Munzner polynomials of degree four

Tohoku University

We express the Cartan-Munzner polynomials for isoparametric hypersurfaces of Clifford type in terms of the moment map of the spin action. We also give a systematic argument for all the known Cartan-Munzner polynomials of degree four, and express them via the moment map of a certain group action. Since OT-FKM type includes all the non-homogeneous cases, it will give us a clue to investigate the structure of hypersurfaces with higher cohomogeneity group action.

Reiko Miyaoka

Tohoku University (Japón)

Number of talks
1
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