2 citations · 3 across the 7 of their papers we have counts for
7 papers
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…
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…
Fourier-Mukai transforms and normalisation of nodal curves
Emilio Franco, Robert Hanson, Johannes Horn +1
We study Arinkin's Poincaré sheaf on the singular locus of , the compactified Jacobian of rank one torsion-free sheaves on an integral no…
Visible Lagrangians for Hitchin Systems and Pillowcase Covers
Johannes Horn, Johannes Schwab
We study complex Lagrangians in Hitchin systems that factor through a proper subvariety of the Hitchin base non-trivially intersecting the regular locus. This gives a general frame…
Compactifying the rank two Hitchin system via spectral data on semistable curves
Johannes Horn, Martin Möller
We study resolutions of the rational map to the moduli space of stable curves that associates with a point in the Hitchin base the spectral curve. In the rank two case the answer i…
-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…
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…