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 -ringed space. In this paper I define a sheaf of vector fields (``the tangent sheaf) on a local -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 -ringed spaces.
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