Moduli space of metrics of nonnegative sectional or positive Ricci curvature on homotopy real projective spaces

DOI10.1090/tran/8044zbMath1477.53058arXiv1902.08919OpenAlexW2990488421MaRDI QIDQ5141745

David González-Álvaro, Anand Dessai

Publication date: 18 December 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.08919

zbMATH Keywords

Ricci curvaturemoduli spacehomotopyBrieskorn sphereseta-invariants\(\operatorname{spin}^c\)-structure

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Spin and Spin({}^c) geometry (53C27) Global Riemannian geometry, including pinching (53C20) Differentiable structures in differential topology (57R55) Eta-invariants, Chern-Simons invariants (58J28) Index theory (19K56)

Related Items (5)

Moduli space of nonnegatively curved metrics on manifolds of dimension \(4k+1\) ⋮ Diffeomorphic souls and disconnected moduli spaces of nonnegatively curved metrics ⋮ Spaces of positive scalar curvature metrics on totally nonspin manifolds with spin boundary ⋮ On the topology of moduli spaces of non-negatively curved Riemannian metrics ⋮ The moduli space of nonnegatively curved metrics on quotients of \(S^2 \times S^3\) by involutions

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