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- W4295638455 abstract "Using Ahlfors functions, Grunsky maps and the Bell representation theorem, we show that a certain subset of the rational maps of degree $n$ forms a trivial bundle over the moduli space of non-degenerate $n$-connected domains with one marked tangent vector with fiber the $n$-fold symmetric product of the circle. A consequence is that the set of rational Ahlfors functions of degree $n$ forms a closed embedded submanifold inside the space of rational maps of degree $n$. As an application, we show the existence of rational Ahlfors functions with non-positive residues, resolving a question left open in a previous paper by the authors." @default.
- W4295638455 created "2022-09-14" @default.
- W4295638455 creator A5058812451 @default.
- W4295638455 creator A5078610282 @default.
- W4295638455 date "2013-09-11" @default.
- W4295638455 modified "2023-10-14" @default.
- W4295638455 title "Finitely connected domains, Rational maps and Ahlfors functions" @default.
- W4295638455 doi "https://doi.org/10.48550/arxiv.1309.2885" @default.
- W4295638455 hasPublicationYear "2013" @default.
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