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Abstract
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In each dimension
,
we exhibit infinite families of closed manifolds with fundamental group
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
and
dimensions
.
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Keywords
moduli spaces, nonnegative curvature, eta-invariants,
diffeomorphism classification
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Mathematical Subject Classification
Primary: 53C20, 58D27, 58J28
Secondary: 19K56, 53C27, 57R55
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Publication
Received: 30 May 2020
Revised: 15 January 2021
Accepted: 9 February 2021
Published: 26 April 2022
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