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arXiv · 1904.12917

Branch Stabilisation for the Components of Hurwitz Moduli Spaces of Galois Covers

Michael Lönne
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Abstract

We consider components of Hurwitz moduli space of G-Galois covers and set up a powerful algebraic framework to study the set of corresponding equivalence classes of monodromy maps. Within that we study geometric stabilisation by various G-covers branched over the disc. Our results addresses the problem to decide equivalence and stable equivalence algebraically. We recover a homological invariant, which we show to distinguish the equivalence classes of given boundary monodromy and Nielsen type, if the latter is sufficiently large in the appropriate sense.

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Michael Lönne. 2019-04-29. Branch Stabilisation for the Components of Hurwitz Moduli Spaces of Galois Covers. https://arxiv.org/abs/1904.12917

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