5 papers · 1 filter
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…
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…
-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…