On smooth moduli space of Riemann surfaces

15 Nov 2016 Hou Yong

In this paper we study the smooth moduli space of closed Riemann surfaces. This smooth moduli is an infinite cover of the usual moduli space \$\mathscr{M}_g\$ of closed Riemann surfaces, and is identified with the Schottky space of rank \$g.\$ The main theorem of the paper is: Closed Riemann surfaces are uniformizable by Schottky groups of Hausdorff dimension less than one... (read more)

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Categories

• GEOMETRIC TOPOLOGY
• MATHEMATICAL PHYSICS
• COMPLEX VARIABLES
• DIFFERENTIAL GEOMETRY
• GROUP THEORY
• MATHEMATICAL PHYSICS