\(H\)-spaces, loop spaces and the space of positive scalar curvature metrics on the sphere

DOI10.2140/gt.2014.18.2189zbMath1302.58004arXiv1301.5670OpenAlexW1994048053MaRDI QIDQ463150

Mark Walsh

Publication date: 16 October 2014

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

Full work available at URL: https://arxiv.org/abs/1301.5670

zbMATH Keywords

connected sumpositive scalar curvatureoperad\(H\)-spaceiterated loop space

Mathematics Subject Classification ID

Operations and obstructions in algebraic topology (55S99) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (13)

𝐻-Space structures on spaces of metrics of positive scalar curvature ⋮ Moduli spaces of invariant metrics of positive scalar curvature on quasitoric manifolds ⋮ Spaces and moduli spaces of Riemannian metrics ⋮ The positive scalar curvature cobordism category ⋮ Infinite loop spaces and positive scalar curvature ⋮ Positive \((p,n)\)-intermediate scalar curvature and cobordism ⋮ Simplicial volume and essentiality of manifolds fibered over spheres ⋮ H-space and loop space structures for intermediate curvatures ⋮ Nonconnected moduli spaces of nonnegative sectional curvature metrics on simply connected manifolds ⋮ Non-negative versus positive scalar curvature ⋮ Spaces of positive intermediate curvature metrics ⋮ Homotopy invariance of the space of metrics with positive scalar curvature on manifolds with singularities ⋮ On the topology of moduli spaces of non-negatively curved Riemannian metrics

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