Showing math.RTShow all
3 papers · 1 filter
math.RT2026
Magnitude of module categories
Erlend D. Børve, Daniel Horiatakis, Martin Kalck
We define an invariant of the module category of a representation-finite algebra by the magnitude of its Auslander algebra. This invariant will be called the magnitude of the modul…
math.RT2025
Relative singularity categories III: Cluster resolutions
Martin Kalck, Dong Yang
We build foundations of an approach to study canonical forms of -Calabi--Yau triangulated categories with cluster-tilting objects, using dg algebras and relative singularity cat…
math.RT2025
Cluster categories for completed infinity-gons I: Categorifying triangulations
Ä°lke Ãanakçı, Martin Kalck, Matthew Pressland
Paquette and Yıldırım recently introduced triangulated categories of arcs in completed infinity-gons, which are discs with an infinite closed set of marked points on their bound…