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.

Multisymplectic actions of compact lie groups on Spheres / Miti, A. M.; Ryvkin, L.. - In: JOURNAL OF SYMPLECTIC GEOMETRY. - ISSN 1527-5256. - 18:6(2020), pp. 1751-1785. [10.4310/JSG.2020.v18.n6.a6]

Multisymplectic actions of compact lie groups on Spheres

Miti A. M.
;
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.
2020
multisymplectic geometry; groups of multisymplectic diffeomorphisms; compact groups actions; homotopy comoment maps; cohomological obstructions
01 Pubblicazione su rivista::01a Articolo in rivista
Multisymplectic actions of compact lie groups on Spheres / Miti, A. M.; Ryvkin, L.. - In: JOURNAL OF SYMPLECTIC GEOMETRY. - ISSN 1527-5256. - 18:6(2020), pp. 1751-1785. [10.4310/JSG.2020.v18.n6.a6]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1726309
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