= Unitary bundle gauge transformation
{title2=$A^u=u^{-1}Au+u^{-1}du$}
= Bundle gauge transformation
{synonym}
A determinant-preserving unitary bundle automorphism covering the identity on the base. For an $SU(2)$ bundle its values are in the fiberwise special unitary group. We use $A^u=u^{-1}Au+u^{-1}du$. Its curvature transforms by $F_{A^u}=u^{-1}F_Au$. The automorphism is a change of unitary frame, not a change of the base point.
// Destination: geometry-and-topology.bigb
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