A QP perspective on topology change in Poisson-Lie T-duality

Abstract We describe topological T-duality and Poisson–Lie in terms of QP (differential graded symplectic) manifolds their canonical transformations. Duality is mediated by a QP-manifold on doubled non-abelian ‘correspondence’ space, from which we can perform mutually dual symplectic reductions, where certain transformations play vital role. In the presence spectator coordinates, show how introduction bibundle structure correspondence space realises changes global fibration under duality. Our approach be directly translated to worldsheet derive string current algebras. Finally, appearing our reduction procedure naturally suggest Fourier–Mukai integral transformation for T-duality.