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Quantum Abelian Yang–Mills Theory on Riemannian Manifolds with Boundary
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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We quantize abelian Yang–Mills theory on Riemannian manifolds with boundaries in any dimension. The quantization proceeds in two steps. First, the classical theory is encoded into an axiomatic form describing solution spaces associated to manifolds. Second, the quantum theory is constructed from the classical axiomatic data in a functorial manner. The target is general boundary quantum field theory, a TQFT-type axiomatic formulation of quantum field theory.
Keywords: Yang–Mills theory; TQFT; Riemannian manifolds. 
@article{SIGMA_2018_14_a104,
     author = {Homero G. D{\'\i}az-Mar{\'\i}n and Robert Oeckl},
     title = {Quantum {Abelian} {Yang{\textendash}Mills} {Theory} on {Riemannian} {Manifolds} with {Boundary}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2018},
     volume = {14},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a104/}
}
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Homero G. Díaz-Marín; Robert Oeckl. Quantum Abelian Yang–Mills Theory on Riemannian Manifolds with Boundary. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a104/

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