On the (co)homology of the poset of weighted partitions
On the (co)homology of the poset of weighted partitions
We consider the poset of weighted partitions $\Pi _n^w$, introduced by Dotsenko and Khoroshkin in their study of a certain pair of dual operads. The maximal intervals of $\Pi _n^w$ provide a generalization of the lattice $\Pi _n$ of partitions, which we show possesses many of the well-known properties of …