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Moduli space of
nonnegatively curved metrics on manifolds of dimension
$4k+1$
Anand Dessai |
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Algebraic & Geometric Topology 22 (2022) 325–347
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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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References |
Publication
Received: 30 May 2020
Revised: 15 January 2021
Accepted: 9 February 2021
Published: 26 April 2022
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Authors |
| Anand Dessai | |
| Department of Mathematics University of Fribourg Fribourg Switzerland |
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| https://homeweb.unifr.ch/dessaia/pub/ | |
