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Cartan calculus for $C^\infty$-ringed spaces - MaRDI portal

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Cartan calculus for $C^\infty$-ringed spaces

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Publication:6511016

arXiv2307.05604MaRDI QIDQ6511016

Author name not available (Why is that?)


Abstract: In an earlier paper (arXiv:2212.11163) I constructed a complex of differential forms on a local Cinfty-ringed space. In this paper I define a sheaf of vector fields (``the tangent sheaf) on a local Cinfty-ringed space, define contractions of vector fields and forms, Lie derivatives of forms with respect to vector fields, and show that the standard equations of Cartan calculus hold for vector fields and differential forms on local Cinfty-ringed spaces.












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