On Holomorphic Contractibility of Teichmuller Spaces

被引：0
|
作者：
Krushkal, Samuel L. [1 ,2 ]
机构：
[1] Bar Ilan Univ, Dept Math, IL-5290002 Ramat Gan, Israel
[2] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA
来源：
AXIOMS | 2022年 / 11卷 / 10期
关键词：
Teichmuller spaces; Fuchsian group; quasiconformal deformations; holomorphic contractibility; univalent function; Schwarzian derivative; holomorphic sections;
D O I：
10.3390/axioms11100548
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The problem of the holomorphic contractibility of Teichmuller spaces T(0, n) of the 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 the present paper, we give a refined proof of the holomorphic contractibility for all spaces T(0, n), n > 4 and provide two independent proofs of holomorphic contractibility for low-dimensional Teichmuller spaces, which has intrinsic interest.
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页数：12
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