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On synthetic interpretation of quantum principal bundles
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Quantum principal bundles or principal comodule algebras are re-interpreted as principal bundles within a framework of Synthetic Noncommutative Differential Geometry. More specifically, the notion of a noncommutative principal bundle within a braided monoidal category is introduced and it is shown that a noncommutative principal bundle in the category opposite to the category of vector spaces is the same as a faithfully flat Hopf-Galois extension.
Forward citations
Cited by 2 Pith papers
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The reduced Dirac structure of General Relativity on manifolds with corners
The reduced corner phase space of Palatini–Cartan gravity is a Dirac structure—the graph of a Poisson bivector—yielding a strict BF2V theory.
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The reduced Dirac structure of General Relativity on manifolds with corners
Four-dimensional Palatini–Cartan gravity on manifolds with corners reduces to a maximal Dirac structure that is the graph of a Poisson bivector, equivalently an affine BF-like BF²V corner theory.
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