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arXiv · 1408.1903

Homological Stability For The Moduli Spaces of Products of Spheres

Nathan Perlmutter
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Abstract

We prove a homological stability theorem for moduli spaces of high-dimensional, highly connected manifolds, with respect to forming the connected sum with the product of spheres $S^{p}\times S^{q}$, for $p < q < 2p - 2$. This result is analogous to recent results of S. Galatius and O. Randal-Williams regarding the homological stability for the moduli spaces of manifolds of dimension $2n > 4$, with respect to forming connected sums with $S^{n}\times S^{n}$.

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Nathan Perlmutter. 2014-08-08. Homological Stability For The Moduli Spaces of Products of Spheres. https://arxiv.org/abs/1408.1903

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