Geodesic
Cyclic Sieving for Reduced Reflection Factorizations of the Coxeter Element
Séminaire lotharingien de combinatoire, 80B (2018)

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In a seminal work, Bessis gave a geometric interpretation of the noncrossing lattice NC(W), associated to a well-generated complex reflection group W. We use this framework to prove, in a unified way, various instances of the cyclic sieving phenomenon on the set of reduced reflection factorizations of the Coxeter element. These include in particular the conjectures of N. Williams on the actions Pro and Twist. 

@article{SLC_2018_80B_a85,
     author = {Theo Douvropoulos},
     title = {Cyclic {Sieving} for {Reduced} {Reflection} {Factorizations} of the {Coxeter} {Element}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {80B},
     year = {2018},
     url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a85/}
}
TY  - JOUR
AU  - Theo Douvropoulos
TI  - Cyclic Sieving for Reduced Reflection Factorizations of the Coxeter Element
JO  - Séminaire lotharingien de combinatoire
PY  - 2018
VL  - 80B
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2018_80B_a85/
ID  - SLC_2018_80B_a85
ER  - 
%0 Journal Article
%A Theo Douvropoulos
%T Cyclic Sieving for Reduced Reflection Factorizations of the Coxeter Element
%J Séminaire lotharingien de combinatoire
%D 2018
%V 80B
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2018_80B_a85/
%F SLC_2018_80B_a85
Theo Douvropoulos. Cyclic Sieving for Reduced Reflection Factorizations of the Coxeter Element. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a85/