Geometric formulation of the covariant phase space methods with boundaries

@article{MargalefBentabol2021GeometricFO,
  title={Geometric formulation of the covariant phase space methods with boundaries},
  author={Juan Margalef-Bentabol and Eduardo J S Villase{\~n}or},
  journal={Physical Review D},
  year={2021},
  volume={103},
  pages={025011}
}
We analyze in full detail the geometric structure of the covariant phase space (CPS) of any local field theory defined over a space-time with boundary. To this end, we introduce a new frame: the ``relative bicomplex framework.'' It is the result of merging an extended version of the ``relative framework'' (initially developed in the context of algebraic topology by R. Bott and L. W. Tu in the 1980s to deal with boundaries) and the variational bicomplex framework (the differential geometric… 
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