%0 Journal Article
%T Homological Stability For Moduli Spaces of Odd Dimensional Manifolds
%A Nathan Perlmutter
%J Mathematics
%D 2013
%I arXiv
%X We prove a homological stability theorem for the moduli spaces of manifolds diffeomorphic to $\#^{g}(S^{n+1}\times S^{n})$, provided $n \geq 4$. This is an odd dimensional analogue of a recent homological stability result of S. Galatius and O. Randal Williams for the moduli space of manifolds diffeomorphic to $\#^{g}(S^{n}\times S^{n})$ for $n \geq 3$.
%U http://arxiv.org/abs/1311.5648v3