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arXiv · 1706.09862

Topologically singular points in the moduli space of Riemann surfaces

Antonio F. Costa·Ana M. Porto
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Abstract

In 1962 E. H. Rauch established the existence of points in the moduli space of Riemann surfaces not having a neighbourhood homeomorphic to a ball. These points are called here topologically singular. We give a different proof of the results of Rauch and also determine the topologically singular and non-singular points in the branch locus of some equisymmetric families of Riemann surfaces.

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Antonio F. Costa, Ana M. Porto. 2018-11-26. Topologically singular points in the moduli space of Riemann surfaces. https://arxiv.org/abs/1706.09862

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