Metric topology on the moduli space

Jialong Deng


We define the smooth Lipschitz topology on the moduli space and show that each conformal class is dense in the moduli space endowed with Gromov-Hausdorff topology, which offers an answer to Tuschmann’s question.


Gromov-Hausdorff topology; ε-topology; Lipschitz-topology; smooth Lipschitz-topology

Subject classification

54E35; 54F65; 51F99

Full Text:



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