The topology of positive scalar curvature

zbMath1373.53053arXiv1405.4220MaRDI QIDQ5371282

Thomas Schick

Publication date: 25 October 2017

Full work available at URL: https://arxiv.org/abs/1405.4220

zbMATH Keywords

coarse geometrypositive scalar curvaturehigher index theorycoarse index theorylarge scale index theory\(C^\ast\)-index theory

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Moduli problems for differential geometric structures (58D27) Exotic index theories on manifolds (58J22) Spin and Spin({}^c) geometry (53C27) Global Riemannian geometry, including pinching (53C20) Surgery and handlebodies (57R65) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Ext and (K)-homology (19K33) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Geometric structures on manifolds of high or arbitrary dimension (57N16) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Index theory (19K56) Homotopy and topological questions for infinite-dimensional manifolds (58B05) Manifolds of metrics (especially Riemannian) (58D17)

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