Geodesic
Geometrically constructed bases for homology of non-crossing partition lattices
The electronic journal of combinatorics, Tome 16 (2009) no. 1
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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 using a general construction of a generic affine hyperplane for the central hyperplane arrangement defined by $W$.
DOI : 10.37236/137
Classification : 06A11, 20F55
Mots-clés : homology of non-crossing partition lattice, homology of intersection lattice, hyperplane arrangement 
@article{10_37236_137,
     author = {Aisling Kenny},
     title = {Geometrically constructed bases for homology of non-crossing partition lattices},
     journal = {The electronic journal of combinatorics},
     year = {2009},
     volume = {16},
     number = {1},
     doi = {10.37236/137},
     zbl = {1170.05060},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/137/}
}
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Aisling Kenny. Geometrically constructed bases for homology of non-crossing partition lattices. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/137

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