8 citations · 20 across the 6 of their papers we have counts for
6 papers
A geometric view of the Chern character
Florin Dumitrescu
In this note we show that the Chern character form of a superconnection is obtained via the parallel transport of the superconnection along superpaths, by restriction to the univer…
A new look at connections
Florin Dumitrescu
In this note we make use of some properties of vector fields on a manifold to give an alternate proof to [3] for the equivalence between connections and parallel transport on vecto…
Addendum to "Superconnections and Parallel Transport"
Florin Dumitrescu
In this addendum to our article "Superconnections and Parallel Transport" we give an alternate construction to the parallel transport of a superconnection contained in Corollary 4.…
On 2-dimensional topological field theories
Florin Dumitrescu
In this paper we give a characterization of 2-dimensional topological field theories over a space as Frobenius bundles with connections over , the free loop space of . T…
Connections and Parallel Transport
Florin Dumitrescu
In this short note we give an elementary proof of the fact that connections and their geometric parallel-transport counterpart are equivalent notions.
Superconnections and Parallel Transport
Florin Dumitrescu
This note addresses the construction of a notion of parallel transport along superpaths arising from the concept of a superconnection on a vector bundle over a manifold . A supe…