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Comparison moduli spaces for Riemann surfaces
(English)Manuscript (preprint) (Other academic)
Abstract [en]

We define a kind of moduli space of nested surfaces and mappings, which we call a comparison moduli space. We review examples of such spaces in geometric function theory and modern Teichm├╝ller theory, and illustrate how a wide range of phenomena in complex analysis are captured by this notion of moduli space. The paper includes a list of open problemss ranging from quite general theoretical questions to specific technical problems

National Category
Geometry Mathematical Analysis
URN: urn:nbn:se:uu:diva-284594OAI: oai:DiVA.org:uu-284594DiVA: diva2:920684
Available from: 2016-04-18 Created: 2016-04-18 Last updated: 2016-09-28

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Staubach, Wolfgang
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