4 papers
math.AG2025
Wall-crossing formulas via spectral networks
Johannes Horn, Martin Möller
We give a self-contained proof of the Kontsevich-Soibelman wall-crossing formula entirely in the scope of quadratic differentials without relying on input from DT theory. Our appro…
math.DG2025
The asymptotics of the -Hitchin metric on the singular locus: subintegrable systems
Siqi He, Johannes Horn, Nianzi Li
We study the asymptotic hyperkähler geometry of the -Hitchin moduli space over the singular fibers of the Hitchin fibration. We extend the previously kno…
math.AG2020
-type singular fibres of the symplectic and odd orthogonal Hitchin system
Johannes Horn
We define and parametrise so-called -type fibres of the - and -Hitchin system. These are (singular) Hitc…
math.AG2020
Semi-abelian spectral data for singular fibres of the -Hitchin system
Johannes Horn
We describe spectral data for singular fibres of the -Hitchin fibration with irreducible and reduced spectral curve. Using Hecke transformations we give…