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Retrieving "Vector Group" from the archives

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  1. Principal Bundle

    Linked via "Vector Group"

    | $\mathbb{S}^2$ (Sphere) | $U(1)$ (Abelian) | Integer winding number $n \in \mathbb{Z}$ | Hopf Fibration ($S^3 \to S^2$) |
    | $\mathbb{R}^4$ (Minkowski Space) | $SU(2)$ (Non-Abelian) | Chern Number $\text{Ch}(F)$ | Instantons (Self-dual solutions) |
    | $\mathbb{T}^2$ (Torus) | $\mathbb{R}$ (Vector Group) | Pair of real parameters $(\theta1, \theta2)$ | Flat Bundles |
    Connection Forms and Curva…