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math.DG2025
Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings
Eric Schippers, Wolfgang Staubach
We construct a scattering theory for harmonic one-forms on Riemann surfaces, obtained from boundary value problems involving systems of curves and the jump problem. We obtain an ex…
math.DG2025
Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems
Eric Schippers, Wolfgang Staubach
We consider a compact Riemann surface with a complex of non-intersecting Jordan curves, whose complement is a pair of Riemann surfaces with boundary, each of which ma…