= Holonomy representation of a flat connection
{title2=$\rho_A:\pi_1(X,x)\to G$}
= Flat holonomy representation
{synonym}
The <holonomy> of a <flat connection> is invariant under based homotopy of loops, giving a <group homomorphism> from the <fundamental group> into the structure group after choosing a frame at the base point. Changing that frame conjugates the representation. Its associated bundle is constructed from the universal cover and this monodromy. It differs from the natural representation of a Riemannian holonomy group on a tangent fiber.
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