English

Enumerative properties of generalized associahedra

Combinatorics 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0401237,
  title  = {Enumerative properties of generalized associahedra},
  author = {Frederic Chapoton},
  journal= {arXiv preprint arXiv:math/0401237},
  year   = {2007}
}

Comments

15 pages

R2 v1 2026-07-22T17:01:41.710Z