4 papers
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 n…
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…
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 kn…