Download this article
 Download this article For screen
For printing
Recent Issues

Volume 29, 1 issue Volume 29, 1 issue

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
Moduli spaces of Ricci positive metrics in dimension five

McFeely Jackson Goodman

Geometry & Topology 28 (2024) 1065–1098
Abstract

We use the η invariants of spin c Dirac operators to distinguish connected components of moduli spaces of Riemannian metrics with positive Ricci curvature. We then find infinitely many nondiffeomorphic five-dimensional manifolds for which these moduli spaces each have infinitely many components. The manifolds are total spaces of principal S1 bundles over #aP2 # bP2¯ and the metrics are lifted from Ricci positive metrics on the bases. Along the way we classify 5–manifolds with fundamental group 2 admitting free S1 actions with simply connected quotients.

Keywords
moduli spaces, positive Ricci curvature
Mathematical Subject Classification
Primary: 53C20, 53C27, 58D19, 58D27, 58J28
Secondary: 19K56
References
Publication
Received: 4 December 2020
Revised: 1 April 2022
Accepted: 28 July 2022
Published: 10 May 2024
Proposed: Tomasz S Mrowka
Seconded: Tobias H Colding, David Fisher
Authors
McFeely Jackson Goodman
Department of Mathematics
Colby College
Waterville, ME
United States

Open Access made possible by participating institutions via Subscribe to Open.