The local functors of points of Supermanifolds

2009/08/13 by L. Balduzzi, Claudio Carmeli, C. Carmeli +4
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #math-ph #math.MP #math.RA

paper · pdf · doi:10.48550/arxiv.0908.1872

arxiv created 2009/08/13 · openalex publication_date 2009/08/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• A Categorical Formulation of Superalgebra and Supergeometry

Related

• A Comparison of the functors of points of Supermanifolds
• On the space of super maps between smooth supermanifolds
• Geometry of Supermanifolds through Sheaf and Ringed Space Methods
• A Supermanifold structure on Spaces of Morphisms between Supermanifolds
• Integration on noncompact supermanifolds