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A remark on a new category of supermanifolds |
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| Authors: | Claudio Bartocci Ugo Bruzzo |
| Affiliation: | Dipartimento di Matematica, Università di Genova Via L.B. Alberti 4, 16132, Genova, Italy Departamento de Matemáticas, Universidad de Salamanca, Plaza de la Merced 1–4, 37008, Salamanca, Spain |
| Abstract: | In a previous paper a new category of supermanifolds, called -supermanifolds, was introduced. The objects of that category are pairs (M, ), with M a topological space and a suitably defined sheaf of 2 -graded commutative BL - algebras, BL being a Grassmann algebra with L generators. In this note we complete the analysis of that category by showing that is isomorphic with the sheaf of - maps M → BL. |
| Keywords: | Supermanifolds |
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