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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