# nLab differential T-duality

## Surveys, textbooks and lecture notes

#### Differential cohomology

differential cohomology

# Contents

## Idea

Analogous to how topological T-duality describes the aspects of T-duality that are not related to the pseudo-Riemannian metric and the background gauge field, differential T-duality still ignores the metric, but takes the background Kalb-Ramond field and its effect on the RR-fields into account: it is a refinement of topological T-duality from cohomology to differential cohomology.

This is also called geometric T-duality (KahleValentino), though this is a slight misnomer, since present technnology for the differential refinement does not take the metric into account.

## Formulation by twisted differential $\mathbf{c}$-structures

We discuss here how the notion of differential T-duality pairs is a special case of the notion of twisted differential c-structures.

(…)

for the moment see the remarks included in T-Duality and Differential K-Theory

## References

The first proposal for a description of differential T-duality is

A review is in section 7.4 of

Revised on November 26, 2012 21:29:45 by Urs Schreiber (82.169.65.155)