A Model of the Teichmüller space of genus-zero bordered surfaces by period maps

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

2019-02-27

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en

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20
32-51

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Conformal geometry and dynamics, Volume 23

Abstract

We consider Riemann surfaces S with Σ borders homeomorphic to S 1 and no handles. Using generalized Grunsky operators, we define a period mapping from the infinite-dimensional Teichmüller space of surfaces of this type into the unit ball in the linear space of operators on an n-fold direct sum of Bergman spaces of the disk. We show that this period mapping is holomorphic and injective.

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Radnell, D, Schippers, E & Staubach, W 2019, ' A Model of the Teichmüller space of genus-zero bordered surfaces by period maps ', Conformal Geometry and Dynamics, vol. 23, no. 3, pp. 32-51 . https://doi.org/10.1090/ecgd/332