2010/11/23 by Florin Dumitrescu, Dumitrescu, Florin · 1 citation
Mathematics · #53C05 #57R56 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1011.5016
openalex publication_date 2010/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A vector bundle with connection over a supermanifold leads naturally to a notion of parallel transport along superpaths. In this note we show that \it every such parallel transport along superpaths comes form a vector bundle with connection, at least when the base supermanifold is a manifold.