8 citations · 31 across the 22 of their papers we have counts for
27 papers
A unified approach to conformal and modular invariants
Eric Schippers, Wolfgang Staubach
In this paper we give a general family of conformal invariants associated to bordered Riemann surfaces endowed with boundary parametrizations, or equivalently compact surfaces endo…
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…
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…
A Fermionic Grunsky operator
Peter Kristel, Eric Schippers, Wolfgang Staubach
To a conformal map from the disk into the complex plane onto a domain with rectifiable Ahlfors-regular boundary, we associate a new kind of Grunsky operator on the…
Grassmannians of Lagrangian Polarizations
Peter Kristel, Eric Schippers
This paper is an introduction to polarizations in the symplectic and orthogonal settings. They arise in association to a triple of compatible structures on a real vector space, con…
Faber series for holomorphic one-forms on Riemann surfaces with boundary
Eric Schippers, Mohammad Shirazi
Consider a compact surface with distinguished points and conformal maps from the unit disk into non-overlapping quasidisks on tak…