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On the space of super maps between smooth supermanifolds

2013/04/01 by Giulio Bonavolontà, G. Bonavolontà, Bonavolontà, G. +3
Mathematics · #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #math.DG

paper · pdf · doi:10.48550/arxiv.1304.0394

arxiv created 2013/04/01 · openalex publication_date 2013/04/01 · arxiv updated 2013/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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