most citedPerverse schobers, stability conditions and quadratic differentials I

1 citations · 1 across the 2 of their papers we have counts for

collaborators

9 papers

math.RT20261 cited

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…

math.RT2026

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…

math.RT2026

-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…

math.AG2026

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…

math.RT2026

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…

math.AG2026

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…