#### Volume 22, issue 1 (2022)

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Moduli space of nonnegatively curved metrics on manifolds of dimension $4k+1$

### Anand Dessai

Algebraic & Geometric Topology 22 (2022) 325–347
##### Abstract

In each dimension $4k+1\ge 9$, we exhibit infinite families of closed manifolds with fundamental group ${ℤ}_{2}$ for which the moduli space of metrics of nonnegative sectional curvature has infinitely many path components. Examples of closed manifolds with finite fundamental group with this property were known before only in dimension $5$ and dimensions $4k+3\ge 7$.

##### Keywords
moduli spaces, nonnegative curvature, eta-invariants, diffeomorphism classification
##### Mathematical Subject Classification
Primary: 53C20, 58D27, 58J28
Secondary: 19K56, 53C27, 57R55