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arXiv · 1312.6327

Homological stability for coloured configuration spaces and symmetric complements

TriThang Tran
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Abstract

We prove a homological stability theorem for certain complements of symmetric spaces. This is a variant of a conjecture by Vakil and Matchett Wood for subspaces of $\mathrm{Sym}^n(X)$ where $X$ is an open manifold admitting a boundary. To do this we prove a homological stability result for a type of "coloured" configuration space by adding points of the same colour.

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TriThang Tran. 2013-12-22. Homological stability for coloured configuration spaces and symmetric complements. https://arxiv.org/abs/1312.6327

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