Representations of shifted quantum affine algebras and cluster algebras I: The simply laced case
C Geiss, D Hernandez, B Leclerc - Proceedings of the London …, 2024 - Wiley Online Library
We introduce a family of cluster algebras of infinite rank associated with root systems of type
AA, DD, E E. We show that suitable completions of these cluster algebras are isomorphic to …
AA, DD, E E. We show that suitable completions of these cluster algebras are isomorphic to …
Counting in Calabi--Yau categories, with applications to Hall algebras and knot polynomials
We show that homotopy cardinality--a priori ill-defined for many dg-categories, including all
periodic ones--has a reasonable definition for even-dimensional Calabi--Yau (evenCY) …
periodic ones--has a reasonable definition for even-dimensional Calabi--Yau (evenCY) …
Metric completions of discrete cluster categories
C Cummings, S Gratz - arXiv preprint arXiv:2407.17369, 2024 - arxiv.org
Neeman shows that the completion of a triangulated category with respect to a good metric
yields a triangulated category. We compute completions of discrete cluster categories with …
yields a triangulated category. We compute completions of discrete cluster categories with …
Torsion pairs, t-structures, and co-t-structures for completions of discrete cluster categories
S Franchini - arXiv preprint arXiv:2403.08735, 2024 - arxiv.org
We give a classification of torsion pairs, t-structures, and co-t-structures in the Paquette-
Yildirim completion of the Igusa-Todorov discrete cluster category. We prove that the aisles …
Yildirim completion of the Igusa-Todorov discrete cluster category. We prove that the aisles …