Geodesic
Cyclic Sieving Phenomena on Annular Noncrossing Permutations
Séminaire lotharingien de combinatoire, Tome 69 (2013)

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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. 

@article{SLC_2013_69_a1,
     author = {Jang Soo Kim},
     title = {Cyclic {Sieving} {Phenomena} on {Annular} {Noncrossing} {Permutations}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {69},
     year = {2013},
     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
PB  - mathdoc
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
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2013_69_a1/
%F SLC_2013_69_a1
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/