activity
20242026
most citedPerverse schobers, stability conditions and quadratic differentials I

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

collaborators

6 papers

math.AG2026

Gluing abelian categories and stability conditions

Charalampos Evangelatos, Fabian Haiden

We study the support property for stability conditions obtained by gluing along semiorthogonal decompositions. Our main tool is a new gluing construction for abelian categories alo…

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

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.RT2025

Braid group actions on branched coverings and full exceptional sequences

Wen Chang, Fabian Haiden, Sibylle Schroll

We relate full exceptional sequences in Fukaya categories of surfaces or equivalently in derived categories of graded gentle algebras to branched coverings over the disk, building…

math.QA2024

Counting in Calabi--Yau categories, with applications to Hall algebras and knot polynomials

Mikhail Gorsky, Fabian Haiden

We show that homotopy cardinality -- a priori ill-defined for many dg-categories, including all periodic ones -- has a reasonable definition for even-dimensional Calabi--Yau (evenC…

math.AG2024

The stability manifold of

Fabian Haiden, Benjamin Sung

We determine a full component of the space of stability conditions on where is an elliptic curve without complex multiplication. The component has complex dimension…