  In the theory of configuration spaces, "splitting" usually refers to the
phenomenon that the configuration spaces on a manifold and those on its
punctured version are closely related cohomologically. We prove a splitting
theorem that is equivariant and mixed-Hodge-theoretic; both are new features in
such results. As an application, we determine the generating function for the
mixed Hodge numbers of the unordered configuration spaces of a multi-punctured
elliptic curve.
