Differential forms on C∞-ringed spaces

Eugene Lerman

doi:10.1016/j.geomphys.2023.105062

Differential forms on C^∞-ringed spaces

Eugene Lerman

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We construct a complex of sheaves of differential forms on a local C^∞-ringed space. The two main classes of spaces we have in mind are differential spaces in the sense of Sikorski and C^∞-schemes. Just as in the case of manifolds the construction is functorial. Consequently forms can be integrated over simplices and Stokes' theorem holds.

Original language	English (US)
Article number	105062
Journal	Journal of Geometry and Physics
Volume	196
DOIs	https://doi.org/10.1016/j.geomphys.2023.105062
State	Published - Feb 2024

Keywords

Differential space
Local C-ringed space
de Rham complex

ASJC Scopus subject areas

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

Online availability

10.1016/j.geomphys.2023.105062

Library availability

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Cite this

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