Geometrically Constructed Bases for Homology of Non-Crossing Partition Lattices
arXiv:0806.4151
Abstract
For any finite, real reflection group , 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 \cite{BW} using a general construction of a generic affine hyperplane for the central hyperplane arrangement defined by .
9 pages, 1 figure Reference added