Homological Stability For Moduli Spaces of Odd Dimensional Manifolds

2013/11/22 by Perlmutter, Nathan
#55P47 #57R15 #57R19 #57R56 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1311.5648

Abstract

We prove a homological stability theorem for the moduli spaces of manifolds diffeomorphic to #^g(Sⁿ⁺¹× Sⁿ), provided n ≥ 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(Sⁿ× Sⁿ) for n ≥ 3.

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