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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@article{Miti-Multisymplectic-actions-of-2020,
 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.},
 author = {Miti, Antonio Michele and Ryvkin, Leonid},
 doi = {10.4310/JSG.2020.v18.n6.a6},
 eprint = {1906.08790},
 fjournal = {The Journal of Symplectic Geometry},
 issn = {1527-5256},
 journal = {J. Symplectic Geom.},
 keywords = {53D05,57R91},
 language = {English},
 number = {6},
 pages = {1751--1785},
 title = {Multisymplectic actions of compact {Lie} groups on spheres},
 volume = {18},
 year = {2020},
 zbl = {1476.53097},
 zbmath = {7326197}
}