Homotopy groups of the observer moduli space of Ricci positive metrics

DOI10.2140/gt.2019.23.3003zbMath1429.53053arXiv1712.05937OpenAlexW3104884309MaRDI QIDQ2279149

Boris Botvinnik, Mark Walsh, David J. Wraith

Publication date: 12 December 2019

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.05937

zbMATH Keywords

moduli spacepositive Ricci curvatureRiemannian metricsHatcher bundlesPerelman gluing construction

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Elliptic equations on manifolds, general theory (58J05) Spin and Spin({}^c) geometry (53C27) Surgery and handlebodies (57R65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Homotopy groups of special spaces (55Q52)

Related Items (8)

Generalized surgery on Riemannian manifolds of positive Ricci curvature ⋮ Intermediate Ricci curvatures and Gromov's Betti number bound ⋮ H-space and loop space structures for intermediate curvatures ⋮ Metrics of positive Ricci curvature on the connected sums of products with arbitrarily many spheres ⋮ Ricci-positive metrics on connected sums of projective spaces ⋮ Spaces of positive intermediate curvature metrics ⋮ Manifolds of positive Ricci curvature, quadratically asymptotically nonnegative curvature, and infinite Betti numbers ⋮ On the topology of moduli spaces of non-negatively curved Riemannian metrics

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