On the Topology of the Cambrian Semilattices


For an arbitrary Coxeter group W , Reading and Speyer defined Cambrian semilattices Cγ as sub-semilattices of the weak order onW induced by so-called γ-sortable elements. In this article, we define an edge-labeling of Cγ , and show that this is an EL-labeling for every closed interval of Cγ . In addition, we use our labeling to show that every finite open… (More)


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@article{Kallipoliti2013OnTT, title={On the Topology of the Cambrian Semilattices}, author={Myrto Kallipoliti and Henri M{\"u}hle}, journal={Electr. J. Comb.}, year={2013}, volume={20}, pages={P48} }