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arXiv · 0806.4151

Geometrically Constructed Bases for Homology of Non-Crossing Partition Lattices

Aisling Kenny
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Abstract

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 $W$.

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Aisling Kenny. 2008-07-15. Geometrically Constructed Bases for Homology of Non-Crossing Partition Lattices. https://arxiv.org/abs/0806.4151

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