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arXiv · 1410.5497

Homological stability for symmetric complements

Alexander Kupers·Jeremy Miller·TriThang Tran
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Abstract

Conjecture F from [VW12] states that the complements of closures of certain strata of the symmetric power of a smooth irreducible complex variety exhibit rational homological stability. We prove a generalization of this conjecture to the case of connected manifolds of dimension at least 2 and give an explicit homological stability range.

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Alexander Kupers, Jeremy Miller, TriThang Tran. 2014-12-15. Homological stability for symmetric complements. https://arxiv.org/abs/1410.5497

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