Homological Stability For Moduli Spaces of Odd Dimensional Manifolds

Nathan Perlmutter

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arXiv · 1311.5648

Homological Stability For Moduli Spaces of Odd Dimensional Manifolds

Nathan Perlmutter

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Abstract

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 $n \geq 3$.

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Nathan Perlmutter. 2014-02-14. Homological Stability For Moduli Spaces of Odd Dimensional Manifolds. https://arxiv.org/abs/1311.5648

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