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arXiv · 1906.08790

Multisymplectic actions of compact Lie groups on spheres

Antonio Michele Miti·Leonid Ryvkin
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Abstract

We investigate the existence of homotopy comoment maps (comoments) for high-dimensional spheres seen as multisymplectic manifolds. Especially, we solve the existence problem for compact effective group actions on spheres and provide explicit constructions for such comoments in interesting particular cases.

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BibTeXRIS

Antonio Michele Miti, Leonid Ryvkin. 2019-06-20. Multisymplectic actions of compact Lie groups on spheres. https://doi.org/10.4310/jsg.2020.v18.n6.a6

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