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On the properties of coframes

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arxiv 2410.17682 v1 pith:Q46TVOA6 submitted 2024-10-23 math-ph math.MPmath.RA

Giovanni Canepa This is my paper · ORCID
classification math-phmath.MPmath.RA
keywords mapspropertiesvectoralgebracoframesconnectionconsidercrucial
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We consider injectivity and surjectivity of some maps on the exterior algebra of isomorphic finite-dimensional vector spaces. We prove the properties of the maps in full generality, for any dimension of the vector space and any subspace. We also draw a connection with the Palatini-Cartan formulation of General Relativity, for which these maps are of crucial importance.

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  1. BV Pushforward of Palatini-Cartan gravity

    math-ph 2025-07 conditional novelty 7.0 of 10

    The BV pushforward of standard Palatini-Cartan gravity on Sigma x I equals the restricted BV theory, which is isomorphic to the AKSZ theory compatible with BFV boundary data.

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