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Theory of \((k\oplus l\mid q)\)-dimensional supermanifolds. (English) Zbl 1001.58001

The main content of the paper under review is the definition of a category of supermanifolds that, together with the usual even and odd coordinates, have additional formal even coordinates. Some geometric constructions involving such supermanifods are described in a functorial language, and some applications to physical theories are hinted at.

MSC:

58A50 Supermanifolds and graded manifolds
81T60 Supersymmetric field theories in quantum mechanics
32C11 Complex supergeometry
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