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 intro...

It is known that Jovian radio and high energy electron emissions are observed near Earth. The question we address in this study whether the quasi-periodic ~10 h ~40/15–20 min (QP-10 h, QP-40/15–20 min) energetic particle magnetic field periodicities by Ulysses during its distant encounter with Jupiter 2003 were also detectable as far Earth’s orbit. Surprisingly, found at end of extreme Hallowee...

We describe an active-set, dual-feasible Schur-complement method for quadratic programming (QP) with positive definite Hessians. The formulation of the QP being solved is general and flexible, and is appropriate for many different application areas. Moreover, the specialized structure of the QP is abstracted away behind a fixed KKT matrix called Ko and other problem matrices, which naturally le...

Let X be a possibly non-reduced space of pure dimension. We introduce pointwise Hermitian norm on smooth (0,q)-forms, in particular holomorphic functions, X. The is canonical, up to equivalence, where the underlying reduced manifold. prove that functions complete with respect natural topology induced by this norm.

We investigate a weak space-time formulation of the heat equation and its use for the construction of a numerical scheme. The formulation is based on a known weak space-time formulation, with the difference that a pointwise component of the solution, which in other works is usually neglected, is now kept. We investigate the role of such a component by first using it to obtain a pointwise bound ...