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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2103.07670 |
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| _version_ | 1866908490239311872 |
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| author | Blohmann, Christian |
| author_facet | Blohmann, Christian |
| contents | We show that the action of spacetime vector fields on the variational bicomplex of general relativity has a homotopy momentum map that extends the map from vector fields to conserved currents given by Noether's first theorem to a morphism of $L_\infty$-algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_07670 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The homotopy momentum map of general relativity Blohmann, Christian Symplectic Geometry Mathematical Physics Differential Geometry 53D20, 18N40, 37K06, 83C05 We show that the action of spacetime vector fields on the variational bicomplex of general relativity has a homotopy momentum map that extends the map from vector fields to conserved currents given by Noether's first theorem to a morphism of $L_\infty$-algebras. |
| title | The homotopy momentum map of general relativity |
| topic | Symplectic Geometry Mathematical Physics Differential Geometry 53D20, 18N40, 37K06, 83C05 |
| url | https://arxiv.org/abs/2103.07670 |