Connective K-theory of an Eilenberg-MacLane space and cut loci on a cube

Don Davis, Lehigh University

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First half (joint with Steve Wilson): We describe the connective ku-homology and -cohomology of the Eilenberg-MacLane space K(Z/p,2), using the Adams spectral sequence. There is a nice interplay between exotic and h_0 extensions. Second half (joint with Manyi Guo): The cut locus of a point P on a cube is the set of points Q for which there is more than one shortest path from P to Q. We partition a face of a cube optimally into 193 connected subsets on which the cut locus is constant, up to isomorphism as labeled graphs.