Positive scalar curvature due to the cokernel of the classifying map

DOI10.3842/SIGMA.2020.129zbMath1480.19004arXiv2006.15965OpenAlexW3037792548MaRDI QIDQ2217990

Thomas Schick, Vito Felice Zenobi

Publication date: 12 January 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.15965

zbMATH Keywords

concordancebordism\(K\)-theorypositive scalar curvaturehigher index theorysecondary index theoryanalytic surgery exact sequencescalar curvature exact sequenceStolz exact sequence

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Global Riemannian geometry, including pinching (53C20) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Geometric applications of topological (K)-theory (19L64) Index theory (19K56)

Related Items (2)

Relative torsion and bordism classes of positive scalar curvature metrics on manifolds with boundary ⋮ Scalar and mean curvature comparison via \(\mu\)-bubbles

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