Enumerative Properties of Generalized Associahedra
Séminaire lotharingien de combinatoire, Tome 51 (2004-2005)
Some enumerative aspects of the fans called generalized associahedra, introduced by S. Fomin and A. Zelevinsky in their theory of cluster algebras, are considered in relation with a bicomplex and its two spectral sequences. A precise enumerative relation with the lattices of generalized noncrossing partitions is conjectured and some evidence is given.
@article{SLC_2004-2005_51_a1,
author = {Fr\'ed\'eric Chapoton},
title = {Enumerative {Properties} of {Generalized} {Associahedra}},
journal = {S\'eminaire lotharingien de combinatoire},
year = {2004-2005},
volume = {51},
url = {http://geodesic.mathdoc.fr/item/SLC_2004-2005_51_a1/}
}
Frédéric Chapoton. Enumerative Properties of Generalized Associahedra. Séminaire lotharingien de combinatoire, Tome 51 (2004-2005). http://geodesic.mathdoc.fr/item/SLC_2004-2005_51_a1/