Infinite Friezes of Cluster Algebras from Surfaces
Séminaire lotharingien de combinatoire, 78B (2017)

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Originally studied by Conway and Coxeter, friezes appeared in various recreational mathematics publications in the 1970s. More recently, in 2015, Baur, Parsons, and Tschabold constructed periodic infinite friezes and related them to matching numbers in the once-punctured disk and annulus. In this paper, we study such infinite friezes with an eye towards cluster algebras of type D and affine A, respectively. By examining infinite friezes with Laurent polynomials entries, we discover new symmetries and formulas relating the entries of this frieze to one another.

@article{SLC_2017_78B_a75,
     author = {Emily Gunawan and Gregg Musiker and Hannah Vogel},
     title = {Infinite {Friezes} of {Cluster} {Algebras} from {Surfaces}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {78B},
     year = {2017},
     url = {http://geodesic.mathdoc.fr/item/SLC_2017_78B_a75/}
}
TY  - JOUR
AU  - Emily Gunawan
AU  - Gregg Musiker
AU  - Hannah Vogel
TI  - Infinite Friezes of Cluster Algebras from Surfaces
JO  - Séminaire lotharingien de combinatoire
PY  - 2017
VL  - 78B
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2017_78B_a75/
ID  - SLC_2017_78B_a75
ER  - 
%0 Journal Article
%A Emily Gunawan
%A Gregg Musiker
%A Hannah Vogel
%T Infinite Friezes of Cluster Algebras from Surfaces
%J Séminaire lotharingien de combinatoire
%D 2017
%V 78B
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2017_78B_a75/
%F SLC_2017_78B_a75
Emily Gunawan; Gregg Musiker; Hannah Vogel. Infinite Friezes of Cluster Algebras from Surfaces. Séminaire lotharingien de combinatoire, 78B (2017). http://geodesic.mathdoc.fr/item/SLC_2017_78B_a75/