38 citations · 88 across the 16 of their papers we have counts for
4 papers · 1 filter
Supersolvable LL-lattices of binary trees
Riccardo Biagioli, Frederic Chapoton
Some posets of binary leaf-labeled trees are shown to be supersolvable lattices and explicit EL-labelings are given. Their characteristic polynomials are computed, recovering their…
Arrangements associated to chordal graphs and limits of colored braid groups
Frederic Chapoton, Patrick Polo
Let G be a chordal graph, X(G) the complement of the associated complex arrangement and Gamma(G) the fundamental group of X(G). We show that Gamma(G) is a limit of colored braid gr…
Antichains of positive roots and Heaviside functions
Frederic Chapoton
The ring of locally-constant integer-valued functions on the dominant chamber of the Shi arrangement is endowed with a filtration and a new basis, compatible with this filtration,…
Free hyperplane arrangements associated to labeled rooted trees
Frederic Chapoton
Each labeled rooted tree is associated with a hyperplane arrangement, which is free with exponents given by the depths of the vertices of this tree. The intersection lattices of th…