3 papers
math.AG2026
Towards Categorical Kähler Geometry
Fabian Haiden, Ludmil Katzarkov, Maxim Kontsevich +1
We outline the contours of an emerging theory of Kähler metrics in derived noncommutative geometry. This is a refinement of the theory of Bridgeland stability conditions encoding u…
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.AG2021
Spectral networks and stability conditions for Fukaya categories with coefficients
Fabian Haiden, Ludmil Katzarkov, Carlos Simpson
Given a holomorphic family of Bridgeland stability conditions over a surface, we define a notion of spectral network which is an object in a Fukaya category of the surface with coe…