On holomorphic contractibility of Teichmuller spaces
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 Kr2. In the present paper we improve the statement of Lemma 3 in Kr2 and provide an alternate proof of holomorphic contractibility of low dimensional Teichmuller spaces.
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