The m-Tamari Lattices are EL-Shellable

Details The m-Tamari Lattices are EL-Shellable The m-Tamari Lattices are EL-Shellable

2012-01-10

arxiv.org/abs/1201.2020v2

Mathematics

Combinatorics

11 pages, 3 figures; added a result on the number of spherical intervals

Scientific paper

In this article we prove that the $m$-Tamari lattices $\mathcal{T}_{n}^{(m)}$
recently introduced by Bergeron and Pr\'eville-Ratelle are EL-shellable in the
non-pure sense of Bj\"orner and Wachs. Moreover, we characterize the intervals
of $\mathcal{T}_{n}^{(m)}$ according to their topological properties.

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