# nLab Simons-Sullivan structured bundle

### Context

#### Differential cohomology

differential cohomology

# Contents

## Idea

What Simons-Sullivan call a structured bundle in

is a certain equivalence class of vector bundles with connection, such that the corresponding Grothendieck group is a model for differential K-theory.

The equivalence relation divided out is essentially the following:

two connections on a bundle are taken to be equivalent, if the gauge transformation that relates them induces on all possible lifting gerbes of the bundle a morphism of gerbes with connection, i.e. a morphism of the corresponding abelian differential cocycles.

## Details

Details are currently still in this subsection at differential K-theory.

Revised on September 2, 2010 14:54:10 by Urs Schreiber (131.211.233.99)