We prove Csorba's conjecture that the Lovász complex Hom(C 5 , K n ) of graph multimorphisms from the 5-cycle C 5 to the complete graph K n is Z/2Zequivariantly homeomorphic to the Stiefel manifold, V n−1,2 , the space of (ordered) orthonormal 2-frames in R n−1 . The equivariant piecewise-linear topology that we need is developed along the way.
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