The n-point configuration space of a space M is a well-known object in topology, geometry, and combinatorics. We introduce a generalization, the simplicial configuration space M_S, which takes as its data a simplicial complex S on n vertices, and explore the properties of its homology, considered as an invariant of S.

As in Eastwood-Huggett's geometric categorification of the chromatic polynomial, our construction gives rise to a polynomial invariant of the simplicial complex S, which generalizes and shares several formal properties with the chromatic polynomial.

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