Séminaire Lotharingien de Combinatoire, B51b (2004), 16 pp.

Frédéric Chapoton

Enumerative Properties of Generalized Associahedra

Abstract. 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.

Received: January 21, 2004. Accepted: April 16, 2004. Final Version: April 29, 2004.

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