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We introduce the Teichm\"uller space $T(E)$ of an ordered countable set $E$ of infinite number of distinct points on the Riemann sphere. We discuss the relation between the Teichm\"uller distance… Click to show full abstract
We introduce the Teichm\"uller space $T(E)$ of an ordered countable set $E$ of infinite number of distinct points on the Riemann sphere. We discuss the relation between the Teichm\"uller distance on $T(E)$ and a natural one on the configuration space for $E$. Also we give a system of global holomorphic coordinates for $T(E)$ when $E$ is determined from a finitely generated semigroup consisting of M\"obius transformations with the totally disconnected forward limit set.
Keywords:
teichmuller space;
points riemann;
space;
riemann sphere;
countable set;
space countable
Journal Title: Filomat
Year Published: 2017
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Journal Title: Filomat
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!