Séminaire Lotharingien de Combinatoire, 78B.37 (2017), 12 pp.

Frédéric Chapoton and Philippe Nadeau

Combinatorics of the Categories of Noncrossing Partitions

Abstract. We obtain an alternative combinatorial description of Igusa's cubical categories of noncrossing partitions, using various classes of trees. We also count the morphisms in these categories, according to the ranks of the source and target objects.

Received: November 14, 2016. Accepted: February 17, 2017. Final version: April 1, 2017.

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