Infinite friezes and bracelets

Frieze patterns were studied by Conway and Coxeter in the 1970s. More recently, in 2015, Baur, Parsons, and Tschabold introduced infinite friezes and related them to the once-punctured disk and annulus. In this talk, we will explain the connection between periodic infinite friezes and cluster algebras of type D and affine A (modeled by once-punctured disks and annuli, respectively). We will discuss an invariant called growth coefficients which correspond to bracelets on the surface. These growth coefficients may or may not be homomesy-like.Non UBCUnreviewedAuthor affiliation: University of OklahomaPostdoctora