Connections and Parallel Transport

Abstract

In this short note we give an elementary proof of the fact that connections and their geometric parallel-transport counterpart are equivalent notions.

5 pages; added references, definition and corollary.

References in corpus (3)

• Parallel Transport and Functors
• Connections on non-abelian Gerbes and their Holonomy
• On 2-dimensional topological field theories

Cited by in corpus (3)

• A Categorical Equivalence between Generalized Holonomy Maps on a Connected Manifold and Principal Connections on Bundles over that Manifold
• 1|1 Parallel Transport and Connections
• A new look at connections