Branch Stabilisation for the Components of Hurwitz Moduli Spaces of Galois Covers
Branch Stabilisation for the Components of Hurwitz Moduli Spaces of Galois Covers
复制标题
伽罗瓦覆盖Hurwitz模空间分量的分支稳定性
DOI：
10.1007/978-3-030-51795-3_9
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
M. Lonne
中科院分区：
文献类型：
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作者：
M. Lonne
我们考虑了G-Galois覆盖的Hurwitz模空间的分支，建立了一个强有力的代数框架来研究相应的单值映射等价类的集合。在此范围内，我们研究几何稳定的各种G-覆盖分支的光盘。我们的结果解决了代数上判定等价和稳定等价的问题。我们恢复一个同调不变，我们表明，以区分给定的边界单值和尼尔森型的等价类，如果后者是足够大的适当的意义。
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.