3 papers
math.QA2025
Push-forward of Hopf--Galois extensions: the non central case
Giovanni Landi, Chiara Pagani
We study the push-forward of Hopf--Galois extensions as the algebraic counterpart of the pullback of principal bundles. We apply the theory of twisted tensor product algebras to en…
math.QA2025
On characteristic classes of vector bundles over quantum spheres
Francesco D'Andrea, Giovanni Landi, Chiara Pagani
We study the quantization of spaces whose K-theory in the classical limit is the ring of dual numbers . For a compact Hausdorff space we recall necessary and s…
math.QA2024
Atiyah sequences of braided Lie algebras and their splittings
Paolo Aschieri, Giovanni Landi, Chiara Pagani
Associated with an equivariant noncommutative principal bundle we give an Atiyah sequence of braided derivations whose splittings give connections on the bundle. Vertical braided d…