Metric topology on the moduli space

Jialong Deng

Abstract

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.


Keywords

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

Subject classification

54E35; 54F65; 51F99

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References

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Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt