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The homotopy momentum map of general relativity

Symplectic Geometry 2025-08-18 v4 Mathematical Physics Differential Geometry math.MP

Abstract

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 LL_\infty-algebras.

Keywords

Cite

@article{arxiv.2103.07670,
  title  = {The homotopy momentum map of general relativity},
  author = {Christian Blohmann},
  journal= {arXiv preprint arXiv:2103.07670},
  year   = {2025}
}

Comments

27 pages, typos fixed