Homological Stability For Moduli Spaces of Odd Dimensional Manifolds

Abstract

We prove a homological stability theorem for the moduli spaces of manifolds diffeomorphic to ${\#}^g(S^{n+1}\times S^n)$, provided $n\ge 4$. 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 $n\ge 3$.

arXiv comment34 pages, 2 figures. Fixed a few minor technical errors. Made some changes to Section 6. arXiv admin note: text overlap with arXiv:1203.6830 by other authors

References in corpus (1)

• Homological stability for moduli spaces of high dimensional manifolds. I