Enumerative properties of generalized associahedra

Details Enumerative properties of generalized associahedra Enumerative properties of generalized associahedra

2004-01-19

arxiv.org/abs/math/0401237v1

Mathematics

Combinatorics

15 pages

Scientific paper

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.

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