A topological construction of families of Galois covers of the line
Abstract
We describe a new construction of families of Galois coverings of the line using basic properties of configuration spaces, covering theory, and the Grauert-Remmert Extension Theorem. Our construction provides an alternative to a previous construction due to Gonz\'alez-D\'iez and Harvey (which uses Teichm\"uller theory and Fuchsian groups) and, in the case the Galois group is non-abelian, corrects an inaccuracy therein.
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