For moduli spaces of pointed admissible A-covers, the rational homology in each fixed degree and genus is finitely generated over a new combinatorial category, with generation degree at most g+5i.
On the weight zero compactly supported cohomology of \( H _ g, n \)
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Representation stability for moduli spaces of admissible covers
For moduli spaces of pointed admissible A-covers, the rational homology in each fixed degree and genus is finitely generated over a new combinatorial category, with generation degree at most g+5i.