The functor F from Z-graded bundles to Z-graded manifolds is full and surjective on objects.
On the space of super maps between smooth supermanifolds
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abstract
Mapping spaces of supermanifolds are usually thought as exclusively in functorial terms (i.e. trough the Grothendieck functor of points). In this work we provide a geometric description of such mapping spaces in terms of infinite-dimensional super-vector bundles.
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math.DG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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The functor between two categories of $\mathbb{Z}-$graded manifolds
The functor F from Z-graded bundles to Z-graded manifolds is full and surjective on objects.