Topological T-duality is twisted Atiyah duality

TL;DR

This paper demonstrates that topological T-duality for circle bundles can be understood as a twisted Atiyah duality within the framework of twisted K-theory, providing a new conceptual perspective.

Contribution

It establishes a novel interpretation of topological T-duality as a form of twisted Atiyah duality in K-theory, linking two important concepts in topology and mathematical physics.

Findings

Topological T-duality can be viewed as twisted Atiyah duality.

Provides a new conceptual framework for understanding T-duality.

Bridges the gap between T-duality and Atiyah duality in twisted K-theory.

Abstract

We show that the topological T-duality for circle bundles introduced in work of Bouwknegt-Evslin-Mathai can be interpreted as a form of Atiyah duality for twisted K-theory.