Homological Stability For The Moduli Spaces of Products of Spheres
Perlmutter, Nathan
Original · EN
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 Sᵖ× Sq, 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 Sⁿ× Sⁿ.
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