Geometrically Constructed Bases for Homology of Non-Crossing Partition Lattices

الأصل · EN

For any finite, real reflection group W, we construct a geometric basis for the homology of the corresponding non-crossing partition lattice. We relate this to the basis for the homology of the corresponding intersection lattice introduced by Björner and Wachs in BW using a general construction of a generic affine hyperplane for the central hyperplane arrangement defined by W.