We investigate the existence of homotopy comoment maps (como-ments) for high-dimensional spheres seen as multisymplectic man-ifolds. Especially, we solve the existence problem for compact ef-fective group actions on spheres and provide explicit constructions for such comoments in interesting particular cases.
Miti, A. M., Ryvkin, L., Multisymplectic actions of compact Lie groups on spheres, <<JOURNAL OF SYMPLECTIC GEOMETRY>>, 2020; 18 (6): 1751-1785. [doi:10.4310/jsg.2020.v18.n6.a6] [https://hdl.handle.net/10807/299756]
Multisymplectic actions of compact Lie groups on spheres
Miti, Antonio Michele;
2020
Abstract
We investigate the existence of homotopy comoment maps (como-ments) for high-dimensional spheres seen as multisymplectic man-ifolds. Especially, we solve the existence problem for compact ef-fective group actions on spheres and provide explicit constructions for such comoments in interesting particular cases.
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