101 citations · 283 across the 24 of their papers we have counts for
5 papers · 1 filter
On the growth of friezes via theta functions
Pierre-Guy Plamondon, Salvatore Stella
We prove that the infinite friezes arising from the tubes of a given cluster algebra of acyclic affine type all have the same growth coefficients. Our proof uses identities satisfi…
Non-kissing and non-crossing complexes for locally gentle algebras
Yann Palu, Vincent Pilaud, Pierre-Guy Plamondon
Starting from a locally gentle bound quiver, we define on the one hand a simplicial complex, called the non-kissing complex. On the other hand, we construct a punctured, marked, or…
Non-kissing complexes and tau-tilting for gentle algebras
Yann Palu, Vincent Pilaud, Pierre-Guy Plamondon
We interpret the support -tilting complex of any gentle bound quiver as the non-kissing complex of walks on its blossoming quiver. Particularly relevant examples were previously…
SL_2-Tilings Do Not Exist in Higher Dimensions (mostly)
Laurent Demonet, Pierre-Guy Plamondon, Dylan Rupel +2
We define a family of generalizations of -tilings to higher dimensions called --tilings. We show that, in each dimension 3 o…
Counting friezes in type D_n
Bruce Fontaine, Pierre-Guy Plamondon
We prove that there is an finite number of friezes in type D_n, and we provide a formula to count them. As a corollary, we obtain formulas to count the number of friezes in types B…