5 citations · 9 across the 12 of their papers we have counts for
14 papers
Categorical Lusztig cycles and weave schobers
Roger Casals, Merlin Christ
We establish the foundations of categorical weave calculus, developing the diagrammatic calculus of weaves and braid varieties within the study of Calabi-Yau triangulated categorie…
Lagrangian structures on the derived moduli of constructible sheaves
Merlin Christ, Enrico Lampetti
Given a compact oriented manifold of dimension with a conically smooth stratification, we show that the moduli of -valued constructible sheaves and the moduli o…
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…
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…
-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…
Perverse schobers, stability conditions and quadratic differentials II: relative graded Brauer graph algebras
Merlin Christ, Fabian Haiden, Yu Qiu
We introduce a class of dg-algebras which generalize the classical Brauer graph algebras. They are constructed from mixed-angulations of surfaces and often admit a (relative) Calab…
Lax Additivity
Merlin Christ, Tobias Dyckerhoff, Tashi Walde
We introduce notions of lax semiadditive and lax additive -categories, categorifying the classical notions of semiadditive and additive 1-categories. To establish a wel…
Relative Calabi-Yau structures and perverse schobers on surfaces
Merlin Christ
We give a treatment of relative Calabi--Yau structures on functors between -linear stable -categories, with any -ring spectrum, generalizing previ…
Perverse schobers, stability conditions and quadratic differentials I
Merlin Christ, Fabian Haiden, Yu Qiu
We develop a unified approach for identifying spaces of stability conditions of triangulated categories arising from weighted marked surfaces with moduli spaces of quadratic differ…
Complexes of stable -categories
Merlin Christ, Tobias Dyckerhoff, Tashi Walde
We study complexes of stable -categories, referred to as categorical complexes. As we demonstrate, examples of such complexes arise in a variety of subjects including repre…
Cluster theory of topological Fukaya categories
Merlin Christ
We establish a novel relation between the cluster categories associated with marked surfaces and the topological Fukaya categories of the surfaces. We consider a generalization of…
Geometric models for the derived categories of Ginzburg algebras of n-angulated surfaces via local-to-global principles
Merlin Christ
We consider a class of relative -Calabi--Yau dg-algebras, referred to as relative Ginzburg algebras, associated with marked surfaces equipped with a decomposition into -gons…
Ginzburg algebras of triangulated surfaces and perverse schobers
Merlin Christ
Ginzburg algebras associated to triangulated surfaces provide a means to categorify the cluster algebras of these surfaces. As shown by Ivan Smith, the finite derived category of s…
Spherical monadic adjunctions of stable infinity categories
Merlin Christ
This paper concerns spherical adjunctions of stable -categories and their relation to monadic adjunctions. We begin with a proof of the 2/4 property of spherical adjunction…