Snake graph calculus and cluster algebras from surfaces II: self-crossing snake graphs
I Canakci, R Schiffler - Mathematische Zeitschrift, 2015 - Springer
Snake graphs appear naturally in the theory of cluster algebras. For cluster algebras from
surfaces, each cluster variable is given by a formula whose terms are parametrized by the …
surfaces, each cluster variable is given by a formula whose terms are parametrized by the …
[HTML][HTML] Extensions in Jacobian algebras and cluster categories of marked surfaces
In the context of representation theory of finite dimensional algebras, string algebras have
been extensively studied and most aspects of their representation theory are well …
been extensively studied and most aspects of their representation theory are well …
Snake graph calculus and cluster algebras from surfaces III: Band graphs and snake rings
İ Çanakçı, R Schiffler - International Mathematics Research …, 2019 - academic.oup.com
We introduce several commutative rings, the snake rings, that have strong connections to
cluster algebras and that are interesting on their own right as combinatorially defined rings …
cluster algebras and that are interesting on their own right as combinatorially defined rings …
[HTML][HTML] An expansion formula for type A and Kronecker quantum cluster algebras
İ Çanakçı, P Lampe - Journal of Combinatorial Theory, Series A, 2020 - Elsevier
We introduce an expansion formula for elements in quantum cluster algebras associated to
type A and Kronecker quivers with principal quantization. Our formula is parametrized by …
type A and Kronecker quivers with principal quantization. Our formula is parametrized by …
[HTML][HTML] Infinite rank surface cluster algebras
İ Çanakçı, A Felikson - Advances in Mathematics, 2019 - Elsevier
We generalise surface cluster algebras to the case of infinite surfaces where the surface
contains finitely many accumulation points of boundary marked points. To connect different …
contains finitely many accumulation points of boundary marked points. To connect different …
Bases for cluster algebras from orbifolds with one marked point
İ Çanakçı, P Tumarkin - Algebraic Combinatorics, 2019 - numdam.org
Bases for cluster algebras from orbifolds with one marked point Page 1 ALGEBRAIC
COMBINATORICS Ilke Çanakçı & Pavel Tumarkin Bases for cluster algebras from orbifolds …
COMBINATORICS Ilke Çanakçı & Pavel Tumarkin Bases for cluster algebras from orbifolds …