Work

On countability of Teichmüller modular groups for analytically infinite Riemann surfaces defined by generalized Cantor sets

Year: 2024

Type: article

Abstract: For any analytically finite Riemann surface, the Teichmüller modular group is countable, but it is not easy to find an analytically infinite Riemann surface for which the Teichmüller modular group is countable. In this paper, we determine whether the Teichmüller modular group is countable or uncountable for some analytically infinite Riemann surfaces defined by generalized Cantor sets.

Source: Proceedings of the Japan Academy Series A Mathematical Sciences

DOI: 10.3792/pjaa.100.013

Author: Erina Kinjo

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405005823

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Cites: 12

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Related to: 10