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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.GT2025
Area Siegel--Veech constants for affine invariant submanifolds of REL zero
Dawei Chen, Elise Goujard, Martin Möller
We describe the principal boundary of an arbitrary affine invariant submanifold of REL zero in terms of level graphs of the multi-scale compactification of strata of Abelian differ…