Geodesic
Combinatorics of the Categories of Noncrossing Partitions
Séminaire lotharingien de combinatoire, 78B (2017)

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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. 

@article{SLC_2017_78B_a36,
     author = {Fr\'ed\'eric Chapoton and Philippe Nadeau},
     title = {Combinatorics of the {Categories} of {Noncrossing} {Partitions}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {78B},
     year = {2017},
     url = {http://geodesic.mathdoc.fr/item/SLC_2017_78B_a36/}
}
TY  - JOUR
AU  - Frédéric Chapoton
AU  - Philippe Nadeau
TI  - Combinatorics of the Categories of Noncrossing Partitions
JO  - Séminaire lotharingien de combinatoire
PY  - 2017
VL  - 78B
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2017_78B_a36/
ID  - SLC_2017_78B_a36
ER  - 
%0 Journal Article
%A Frédéric Chapoton
%A Philippe Nadeau
%T Combinatorics of the Categories of Noncrossing Partitions
%J Séminaire lotharingien de combinatoire
%D 2017
%V 78B
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2017_78B_a36/
%F SLC_2017_78B_a36
Frédéric Chapoton; Philippe Nadeau. Combinatorics of the Categories of Noncrossing Partitions. Séminaire lotharingien de combinatoire, 78B (2017). http://geodesic.mathdoc.fr/item/SLC_2017_78B_a36/