Infinite loop spaces and positive scalar curvature in the presence of a fundamental group

DOI10.2140/gt.2019.23.1549OpenAlexW3099226805MaRDI QIDQ2001907

Oscar Randal-Williams, Johannes Ebert

Publication date: 11 July 2019

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

Full work available at URL: https://arxiv.org/abs/1711.11363

zbMATH Keywords

positive scalar curvatureBaum-Connes conjecturecobordism categoriesdiffeomorphism groupsGromov-Lawson surgeryMadsen-Weiss-type theoremsRosenberg indexsecondary index invariant

Mathematics Subject Classification ID

Exotic index theories on manifolds (58J22) Spin and Spin({}^c) geometry (53C27) Kasparov theory ((KK)-theory) (19K35) Index theory (19K56)

Related Items (17)

The action of the mapping class group on metrics of positive scalar curvature ⋮ On the range of the relative higher index and the higher rho-invariant for positive scalar curvature ⋮ 𝐻-Space structures on spaces of metrics of positive scalar curvature ⋮ The positive scalar curvature cobordism category ⋮ Positive \((p,n)\)-intermediate scalar curvature and cobordism ⋮ Relative torsion and bordism classes of positive scalar curvature metrics on manifolds with boundary ⋮ Simplicial volume and essentiality of manifolds fibered over spheres ⋮ Spaces of positive scalar curvature metrics on totally nonspin manifolds with spin boundary ⋮ Positive scalar curvature due to the cokernel of the classifying map ⋮ Non-negative versus positive scalar curvature ⋮ Spaces of positive intermediate curvature metrics ⋮ Positive scalar curvature on spin pseudomanifolds: the fundamental group and secondary invariants ⋮ The space of positive scalar curvature metrics on a manifold with boundary ⋮ Homotopy invariance of the space of metrics with positive scalar curvature on manifolds with singularities ⋮ The Gromov-Lawson-Chernysh surgery theorem ⋮ On the topology of moduli spaces of non-negatively curved Riemannian metrics ⋮ Slant products on the Higson-Roe exact sequence

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