The local functors of points of Supermanifolds
L. Balduzzi, C. Carmeli, R. Fioresi
TL;DR
This paper investigates the local functor of points, called the Weil-Berezin functor, for smooth supermanifolds, offering a characterization, representability results, and applications to differential calculus.
Contribution
It introduces the Weil-Berezin functor for supermanifolds and establishes key properties and applications, advancing the understanding of supergeometry.
Findings
Characterization of the Weil-Berezin functor
Representability theorems for supermanifolds
Applications to differential calculus in supergeometry
Abstract
We study the local functor of points (which we call the Weil-Berezin functor) for smooth supermanifolds, providing a characterization, representability theorems and applications to differential calculus.
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Taxonomy
TopicsNonlinear Waves and Solitons · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory