Multisymplectic actions of compact Lie groups on spheres
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866909887152259072 |
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| author | Miti, Antonio Michele Ryvkin, Leonid |
| author_facet | Miti, Antonio Michele Ryvkin, Leonid |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1906_08790 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Multisymplectic actions of compact Lie groups on spheres Miti, Antonio Michele Ryvkin, Leonid Symplectic Geometry Mathematical Physics Differential Geometry Group Theory 3D05, 53D20, 54H15, 57S15, 57S25, 22C05, 22F30, 37K05 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. |
| title | Multisymplectic actions of compact Lie groups on spheres |
| topic | Symplectic Geometry Mathematical Physics Differential Geometry Group Theory 3D05, 53D20, 54H15, 57S15, 57S25, 22C05, 22F30, 37K05 |
| url | https://arxiv.org/abs/1906.08790 |