Cluster theory of topological Fukaya categories

M Christ - arXiv preprint arXiv:2209.06595, 2022 - arxiv.org
We study a class of generalized cluster categories arising from relative Ginzburg algebras of
triangulated marked surfaces without punctures. We show that these categories describe $1 …

Cluster categories for completed infinity-gons I: Categorifying triangulations

İ Çanakçı, M Kalck, M Pressland - arXiv preprint arXiv:2401.08378, 2024 - arxiv.org
Paquette and Y {\i} ld {\i} r {\i} m recently introduced cluster-type categories for completed
infinity-gons, which are discs with an infinite closed set of marked points on their boundary …

Green equivalences in equivariant mathematics

P Balmer, I Dell'Ambrogio - Mathematische Annalen, 2021 - Springer
We establish Green equivalences for all Mackey 2-functors, without assuming Krull–
Schmidt. By running through the examples of Mackey 2-functors, we recover all variants of …

[图书][B] Perverse schobers and cluster categories

M Christ - 2023 - search.proquest.com
We introduce a framework for the description of categorified perverse sheaves, called
perverse schobers, on surfaces with boundary in terms of constructible sheaves of stable∞ …