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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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Remark on the Serre-Swan theorem for graded manifoldsстатья
- Автор: Sardanashvily G.
- Журнал: ArXiv e-prints
- Номер: 1304.1371
- Год издания: 2013
- Аннотация: Combining the Batchelor theorem and the Serre-Swan theorem, we come to that, given a smooth manifold $X$, a graded commutative $C^\infty(X)$-algebra $\cA$ is isomorphic to the structure ring of a graded manifold with a body $X$ iff it is the exterior algebra of some projective $C^\infty(X)$-module of finite rank. In particular, it follows that odd fields in field theory on a smooth manifold $X$ can be represented by graded functions on some graded manifold with body $X$.
- Добавил в систему: Сарданашвили Геннадий Александрович