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

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A Model of the Teichmüller space of genus-zero bordered surfaces by period maps. / Radnell, David; Schippers, Eric; Staubach, Wolfgang.

In: Conformal geometry and dynamics, Vol. 23, 27.02.2019, p. 32-51.

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@article{2f9d069c57d54d69a9adea4cdfb53b11,
title = "A Model of the Teichm{\"u}ller space of genus-zero bordered surfaces by period maps",
abstract = "We consider Riemann surfaces Sigma with n borders homeomorphic to S-1 and no handles. Using generalized Grunsky operators, we define a period mapping from the infinite-dimensional Teichmuller 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.",
author = "David Radnell and Eric Schippers and Wolfgang Staubach",
year = "2019",
month = "2",
day = "27",
doi = "10.1090/ecgd/332",
language = "English",
volume = "23",
pages = "32--51",
journal = "Conformal geometry and dynamics",
issn = "1088-4173",

}

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TY - JOUR

T1 - A Model of the Teichmüller space of genus-zero bordered surfaces by period maps

AU - Radnell, David

AU - Schippers, Eric

AU - Staubach, Wolfgang

PY - 2019/2/27

Y1 - 2019/2/27

N2 - We consider Riemann surfaces Sigma with n borders homeomorphic to S-1 and no handles. Using generalized Grunsky operators, we define a period mapping from the infinite-dimensional Teichmuller 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.

AB - We consider Riemann surfaces Sigma with n borders homeomorphic to S-1 and no handles. Using generalized Grunsky operators, we define a period mapping from the infinite-dimensional Teichmuller 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.

U2 - 10.1090/ecgd/332

DO - 10.1090/ecgd/332

M3 - Article

VL - 23

SP - 32

EP - 51

JO - Conformal geometry and dynamics

JF - Conformal geometry and dynamics

SN - 1088-4173

ER -

ID: 32598411