A Hopf bundle over a quantum four-sphere from the symplectic group

Giovanni Landi, Chiara Pagani, Cesare Reina

We construct a quantum version of the SU(2) Hopf bundle $S^7\to S^4$. The quantum sphere $S_q^7$ arises from the symplectic group $S{p}_q(2)$ and a quantum 4-sphere $S_q^4$ is obtai…