Moduli space of metrics of nonnegative sectional or positive ricci curvature on homotopy realprojective spaces
- Dessai, Anand University of Fribourg
- Gonzalez-Alvaro, David Universidad Politécnica de Madrid
- 03.11.2020
Published in:
- Transactions of the American Mathematical Society. - 2021, vol. 374, p. 1-33
Moduli spaces
Nonnegative sectional curvature
Positive Ricci curvature
Eta-invariants
APS-index theory
Homotopy real projective spaces
Brieskorn spheres
English
We show that the moduli space of metrics of nonnegative sectional curvature on every homotopy $\R P^5$ has infinitely many path components. We also show that in each dimension $4k+1$ there are at least $2^{2k}$ homotopy $\R P^{4k+1}$s of pairwise distinct oriented diffeomorphism type for which the moduli space of metrics of positive Ricci curvature has infinitely many path components. Examples of closed manifolds with finite fundamental group with these properties were known before only in dimensions $4k+3\geq 7$.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
-
- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
-
- RERO DOC 327591
- DOI 10.1090/tran/8044
- Persistent URL
- https://folia.unifr.ch/unifr/documents/308205
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