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math.RT2025
Induction in perverse schobers and cluster tilting theory
Merlin Christ
We exhibit gluing properties of cluster tilting subcategories in exact -categories within the framework of perverse schobers on surfaces with boundary. These results are ba…
math.RT2025
Cluster theory of topological Fukaya categories. Part II: Higher Teichmüller theory
Merlin Christ
We construct relative -Calabi--Yau categories related with higher Teichmüller theory. We further study their corresponding cosingularity categories and the additive categorifica…
math.RT2025
-categorical group quotients via skew group algebras
Merlin Christ
We relate group quotients of dg-categories and linear stable -categories. Given a group acting on a dg-algebra, we prove that the skew group dg-algebra is Morita equivalent…