Geometrically Constructed Bases for Homology of Non-Crossing Partition Lattices

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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 \cite{BW} using a general construction of a generic affine hyperplane for the central hyperplane arrangement defined by $W$.
9 pages, 1 figure Reference added

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Combinatorics, Group Theory, 20F55

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http://salesiana.dossiersoluciones.com/handle/123456789/164797

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0806.4151
 http://arxiv.org/abs/0806.4151

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arXiv