Geodesic
Cyclic Sieving Phenomena on Annular Noncrossing Permutations
Séminaire lotharingien de combinatoire, Tome 69 (2013) 
Jang Soo Kim. Cyclic Sieving Phenomena on Annular Noncrossing Permutations. Séminaire lotharingien de combinatoire, Tome 69 (2013). http://geodesic.mathdoc.fr/item/SLC_2013_69_a1/
@article{SLC_2013_69_a1,
     author = {Jang Soo Kim},
     title = {Cyclic {Sieving} {Phenomena} on {Annular} {Noncrossing} {Permutations}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2013},
     volume = {69},
     url = {http://geodesic.mathdoc.fr/item/SLC_2013_69_a1/}
}
TY  - JOUR
AU  - Jang Soo Kim
TI  - Cyclic Sieving Phenomena on Annular Noncrossing Permutations
JO  - Séminaire lotharingien de combinatoire
PY  - 2013
VL  - 69
UR  - http://geodesic.mathdoc.fr/item/SLC_2013_69_a1/
ID  - SLC_2013_69_a1
ER  - 
%0 Journal Article
%A Jang Soo Kim
%T Cyclic Sieving Phenomena on Annular Noncrossing Permutations
%J Séminaire lotharingien de combinatoire
%D 2013
%V 69
%U http://geodesic.mathdoc.fr/item/SLC_2013_69_a1/
%F SLC_2013_69_a1

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

We show cyclic sieving phenomena on annular noncrossing permutations with given cycle types. We define annular q-Kreweras numbers, annular q-Narayana numbers, and annular q-Catalan numbers, and show that a sum of annular q-Kreweras numbers becomes an annular q-Narayana number and a sum of annular q-Narayana numbers becomes an annular q-Catalan number. We also show that these polynomials are closely related to the cyclic sieving phenomena on annular noncrossing permutations.