Non-principal T-duality, generalized complex geometry and blow-ups
Abstract
Abstract We extend the notion of T-duality to manifolds endowed with non-principal torus actions. The singularities of the torus action are controlled by a certain Lie algebroid, called the elliptic tangent bundle. Using this Lie algebroid, we explain how certain invariant generalized complex structures can be transported via T-duality. Along the way, we use the elliptic tangent bundle to define connections for these torus actions, and give new insight into the classification of such actions by Haefliger-Salem.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Advanced Topics in Algebra
Nonlinear Waves and Solitons
Publication details
- Journal / source
- Forum of Mathematics Sigma
- Volume
- 14
- Publication date
- 1 January 2026
- Language
- EN