5 papers
Cluster Expansions from Punctured Orbifolds
Esther Banaian, Wonwoo Kang, Elizabeth Kelley +2
We provide multiple combinatorial expansion formulas - in terms of snake graphs, labelled posets, matrices, and -walks - for elements in generalized cluster algebras associated…
Growth of infinite frieze patterns of affine type
Karin Baur, Anna Felikson, Deepanshu Prasad +2
We analyse the growth coefficients of infinite frieze patterns arising from cluster algebras using cluster modular groups and cluster categories. For a fixed cluster category of af…
A mirror deformation of Markov numbers
Léa Bittmann, Perrine Jouteur, Ezgi Kantarcı OÄuz +2
We introduce a deformed squared Markov equation given by . Symmetric solutions of this new equation present a remarka…
Lattices of pretorsion classes
Federico Campanini, Francesca Fedele, Emine Yıldırım
Since their introduction, torsion theories have played a key role in the study of abelian and pointed categories. In representation theory, torsion theories and lattices of torsion…
Categories of generalized thread quivers
Charles Paquette, Job Daisie Rock, Emine Yıldırım
We study the representation category of thread quivers and their quotients. A thread quiver is a quiver in which some arrows have been replaced by totally ordered sets. Pointwise f…