Local forms of morphisms of colored supermanifolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:168

Article

关键词: Supersymmetry;    Supergeometry;    Superalgebra;    Higher grading;    Sign rule;    Locally ringed space;   

DOI  :  10.1016/j.geomphys.2021.104302

来源: Elsevier

【 摘 要 】

In [13], [17] and [29], we introduced the category of colored supermanifolds (Z(2)(n)- supermanifoldsor just Z(2)(n)-manifolds (Z(2)(n) = Z(2) x ... x Z(2) (n times))), explicitly described the corresponding Z(2)(n)-Berezinian and gave first insights into Z(2)(n)-integration theory. The present paper contains a detailed account of parts of the Z(2)(n)-differential calculus and of the Z(2)(n)-variants of the trilogy of local theorems, which consists of the inverse function theorem, the implicit function theorem and the constant rank theorem. (C) 2021 Elsevier B.V. All rights reserved.

【 授权许可】

Free