Differential forms on $C^\infty$-ringed spaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914627499065344 |
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| author | Lerman, Eugene |
| author_facet | Lerman, Eugene |
| contents | We construct a complex of differential forms on a local $C^\infty$-ringed space. The two main classes of spaces we have in mind are differential spaces in the sense of Sikorski and $C^\infty$-schemes. Just as in the case of manifolds the construction is functorial. Consequently forms can be integrated over simplices and Stokes' theorem holds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_11163 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Differential forms on $C^\infty$-ringed spaces Lerman, Eugene Differential Geometry We construct a complex of differential forms on a local $C^\infty$-ringed space. The two main classes of spaces we have in mind are differential spaces in the sense of Sikorski and $C^\infty$-schemes. Just as in the case of manifolds the construction is functorial. Consequently forms can be integrated over simplices and Stokes' theorem holds. |
| title | Differential forms on $C^\infty$-ringed spaces |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2212.11163 |