Positive scalar curvature metrics via end-periodic manifolds
DOI10.2140/akt.2020.5.639zbMath1454.58020arXiv1706.09354OpenAlexW3104427530MaRDI QIDQ2193664
Michael Hallam, Varghese Mathai
Publication date: 20 August 2020
Published in: Annals of \(K\)-Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.09354
vanishing theoremsmaximal Baum-Connes conjectureend-periodic manifoldspositive scalar curvature metricsend-periodic \(K\)-homologyend-periodic bordismend-periodic eta invariant
Moduli problems for differential geometric structures (58D27) Spin and Spin({}^c) geometry (53C27) Ext and (K)-homology (19K33) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Eta-invariants, Chern-Simons invariants (58J28) Index theory (19K56)
Cites Work
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- Realizing the analytic surgery group of Higson and Roe geometrically. II: Relative \(\eta\)-invariants
- Conformal invariants of twisted Dirac operators and positive scalar curvature
- \(K\)-homology, assembly and rigidity theorems for relative eta invariants
- Seiberg-Witten equations, end-periodic Dirac operators, and a lift of Rohlin's invariant
- Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
- The eta invariant and the K-theory of odd dimensional spherical space forms
- Spectral sections, twisted rho invariants and positive scalar curvature
- Bordism, rho-invariants and the Baum-Connes conjecture
- Groups with torsion, bordism and rho invariants
- On the structure of manifolds with positive scalar curvature
- Spin and scalar curvature in the presence of a fundamental group. I
- The classification of simply connected manifolds of positive scalar curvature
- Non-negative scalar curvature
- Geometric \(K\)-homology and controlled paths
- Relative eta-invariants and \(C^*\)-algebra \(K\)-theory
- Spectral flow, eta invariants, and von Neumann algebras
- Gauge theory on asymptotically periodic 4-manifolds
- Harmonic spinors
- The eta invariant and metrics of positive scalar curvature
- The Novikov conjecture for linear groups
- An index theorem for end-periodic operators
- Homotopy invariance of η-invariants
- Spectral asymmetry and Riemannian Geometry. I
- Spectral asymmetry and Riemannian geometry. II
- Spectral asymmetry and Riemannian geometry. III
- Index type invariants for twisted signature complexes and homotopy invariance
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