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20182026
most citedBraid group actions on branched coverings and full exceptional sequences

2 citations · 3 across the 7 of their papers we have counts for

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math.RT2025

A counterexample to the Jordan-Hölder property for polarizable semiorthogonal decompositions

Fabian Haiden, Dongjian Wu

We show that the Jordan-Hölder property fails for polarizable semiorthogonal decompositions -- those where every factor admits a Bridgeland stability condition. Counterexamples exi…

math.RT2024

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.RT2023★ 1 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.RT2023★ 2 cited

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.RT2018

Iterated logarithms and gradient flows

Fabian Haiden, Ludmil Katzarkov, Maxim Kontsevich +1

We consider applications of the theory of balanced weight filtrations and iterated logarithms, initiated in arXiv:1706.01073, to PDEs. The main result is a complete description of…