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Multisymplectic actions of compact Lie groups on spheres
Journal of Symplectic Geometry  (IF0.707),  Pub Date : 2020-12-01, DOI: 10.4310/jsg.2020.v18.n6.a6
Antonio Michele Miti, Leonid Ryvkin

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.