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 \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.

arXiv admin note: text overlap with arXiv:1701.08210