Positive \((p,n)\)-intermediate scalar curvature and cobordism

DOI10.1016/j.geomphys.2022.104625zbMath1503.53066arXiv2110.12069OpenAlexW3209909164WikidataQ114173338 ScholiaQ114173338MaRDI QIDQ2676629

Matthew Burkemper, Catherine Searle, Mark Walsh

Publication date: 28 September 2022

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.12069

zbMATH Keywords

moduli spaces of Riemannian metricsisotopy and concordancepositive \((p, n)\)-intermediate scalar curvaturesurgery and cobordism

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Global Riemannian geometry, including pinching (53C20) Surgery and handlebodies (57R65)

Cites Work

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• The Gromoll filtration, \(KO\)-characteristic classes and metrics of positive scalar curvature
• Deforming three-manifolds with positive scalar curvature
• \(H\)-spaces, loop spaces and the space of positive scalar curvature metrics on the sphere
• The space of metrics of positive scalar curvature
• On the moduli space of positive Ricci curvature metrics on homotopy spheres
• Homotopy groups of the moduli space of metrics of positive scalar curvature
• Riemannian metrics of positive scalar curvature on compact manifolds with boundary
• On the structure of manifolds with positive scalar curvature
• The classification of simply connected manifolds of positive scalar curvature
• Stability of the \(p\)-curvature positivity under surgeries and manifolds with positive Einstein tensor
• Harmonic spinors
• Infinite loop spaces and positive scalar curvature in the presence of a fundamental group
• The space of positive scalar curvature metrics on a manifold with boundary
• The Gromov-Lawson-Chernysh surgery theorem
• Simply connected manifolds of positive scalar curvature
• Infinite loop spaces and positive scalar curvature
• The fundamental equations of a submersion
• Geography of 4-manifolds with positive scalar curvature
• Metrics of positive scalar curvature and generalised Morse functions, Part II
• Metrics of positive scalar curvature and generalised Morse functions, part I
• Four manifolds with two-positive Ricci curvature
• Construction of Manifolds of Positive Scalar Curvature

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