On the Relationship between Classical and Deformed Hopf Fibrations

Tomasz Brzeziński, James Gaunt, Alexander Schenkel

The $\theta$-deformed Hopf fibration ${\mathbb{S}}_{\theta }^3\to {\mathbb{S}}^2$ over the commutative $2$-sphere is compared with its classical counterpart. It is shown that there exists a natural…