Metric topology on the moduli space

Jialong Deng

doi:10.4995/agt.2021.13066

Authors

Jialong Deng Georg-August-Universität https://orcid.org/0000-0002-2556-2259

DOI:

https://doi.org/10.4995/agt.2021.13066

Keywords:

Gromov-Hausdorff topology, ε-topology, Lipschitz-topology, smooth Lipschitz-topology

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.

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Author Biography

Jialong Deng, Georg-August-Universität

Mathematisches Institut

References

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