8 citations · 29 across the 11 of their papers we have counts for
9 papers · 1 filter
A Model of the Teichmüller space of genus-zero bordered surfaces by period maps
David Radnell, Eric Schippers, Wolfgang Staubach
We consider Riemann surfaces with borders homeomorphic to and no handles. Using generalized Grunsky operators, we define a period mapping from the infinite-d…
Dirichlet space of domains bounded by quasicircles
David Radnell, Eric Schippers, Wolfgang Staubach
Consider a multiply-connected domain in the sphere bounded by non-intersecting quasicircles. We characterize the Dirichlet space of as an isomorphic image of a direct s…
Quasiconformal Teichmuller theory as an analytical foundation for two-dimensional conformal field theory
David Radnell, Eric Schippers, Wolfgang Staubach
The functorial mathematical definition of conformal field theory was first formulated approximately 30 years ago. The underlying geometric category is based on the moduli space of…
A convergent Weil-Petersson metric on the Teichmüller space of bordered Riemann surfaces
David Radnell, Eric Schippers, Wolfgang Staubach
Let be a Riemann surface of genus bordered by curves homeomorphic to the circle , and assume that . For such bordered Riemann surfaces, the auth…
Dirichlet space of multiply connected domains with Weil-Petersson class boundaries
David Radnell, Eric Schippers, Wolfgang Staubach
The restricted class of quasicircles sometimes called the "Weil-Petersson-class" has been a subject of interest in the last decade. In this paper we establish a Sokhotski-Plemelj j…
A Hilbert manifold structure on the refined Teichmueller space of bordered Riemann surfaces
David Radnell, Eric Schippers, Wolfgang Staubach
We consider bordered Riemann surfaces which are biholomorphic to compact Riemann surfaces of genus g with n regions biholomorphic to the disc removed. We define a refined Teichmuel…