In a previous paper a new category of supermanifolds, called G-supermanifolds, was introduced. The objects of that category are pairs (M, A) with M a topological space and A a suitablydefined sheafof Z_2-graded commutative B_L -algebras, B_L being a Grassmann algebra with L generators. In this note wecomplete the analysis of that category by showing that A is isomorphic with the sheafof G-maps M —> BL.
A remark on a new category of supermanifolds
BARTOCCI, CLAUDIO;
1989-01-01
Abstract
In a previous paper a new category of supermanifolds, called G-supermanifolds, was introduced. The objects of that category are pairs (M, A) with M a topological space and A a suitablydefined sheafof Z_2-graded commutative B_L -algebras, B_L being a Grassmann algebra with L generators. In this note wecomplete the analysis of that category by showing that A is isomorphic with the sheafof G-maps M —> BL.
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