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arXiv · 2104.00579

On holomorphic contractibility of Teichmuller spaces

Samuel L. Krushkal
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Abstract

The problem of holomorphic contractibilty of the Teichmuller spaces $T(0, n)$ of punctured spheres ($n > 4$) arose in the 1970s in connection with solving algebraic equations in Banach algebras. Recently it was solved by the author in \cite{Kr2}. In the present paper we improve the statement of Lemma 3 in \cite{Kr2} and provide an alternate proof of holomorphic contractibility of low dimensional Teichmuller spaces.

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Samuel L. Krushkal. 2021-04-01. On holomorphic contractibility of Teichmuller spaces. https://arxiv.org/abs/2104.00579

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