%0 Journal Article
%T Homological stability for coloured configuration spaces and symmetric complements
%A TriThang Tran
%J Mathematics
%D 2013
%I arXiv
%X 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.
%U http://arxiv.org/abs/1312.6327v1