Realizing the analytic surgery group of Higson and Roe geometrically. II: Relative \(\eta\)-invariants
From MaRDI portal
Publication:343176
DOI10.1007/s00208-016-1364-7zbMath1370.19001arXiv1403.5406OpenAlexW1623052549MaRDI QIDQ343176
Magnus Goffeng, Robin J. Deeley
Publication date: 25 November 2016
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.5406
Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Kasparov theory ((KK)-theory) (19K35) Topological (K)-theory (55N15) Index theory (19K56)
Related Items (5)
Realizing the analytic surgery group of Higson and Roe geometrically. III: Higher invariants ⋮ Positive scalar curvature metrics via end-periodic manifolds ⋮ Adiabatic groupoid and secondary invariants in K-theory ⋮ The Higson-Roe exact sequence and \(\ell^2\) eta invariants ⋮ The adiabatic groupoid and the Higson-Roe exact sequence
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Leafwise homotopies and Hilbert-Poincaré complexes. I: Regular HP-complexes and leafwise pull-back maps
- \(K\)-homology and index theory on contact manifolds
- \(K\)-homology, assembly and rigidity theorems for relative eta invariants
- Analytic and topological index maps with values in the \(K\)-theory of mapping cones
- Signature related invariants of manifolds. I. Monodromy and \(\gamma\)- invariants
- \(K\)-theory with \(\mathbb{R}/\mathbb{Z}\) coefficients and von Neumann algebras
- On the equivalence of geometric and analytic \(K\)-homology
- Bordism, rho-invariants and the Baum-Connes conjecture
- Geometric \(K\)-homology and controlled paths
- Von Neumann index theorems for manifolds with boundary
- Spectral sections and higher Atiyah-Patodi-Singer index theory on Galois coverings
- Families of Dirac operators, boundaries and the \(B\)-calculus
- Dirac index classes and the noncommutative spectral flow
- Relative eta-invariants and \(C^*\)-algebra \(K\)-theory
- Realizing the analytic surgery group of Higson and Roe geometrically. I: The geometric model
- The Higson-Roe exact sequence and \(\ell^2\) eta invariants
- Mapping surgery to analysis. III: Exact sequences
- Mapping surgery to analysis. II: Geometric signatures
- Mapping surgery to analysis. I: Analytic signatures
- Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
- \(L^2\)-index theorems, KK-theory, and connections
- Von Neumann Eta-Invariants and C *-Algebra K -Theory
- Flat bundles, von Neumann algebras andK-theory with ℝ/ℤ-coefficients
- R/Z-valued index theory via geometric K-homology
- Index, eta and rho-invariants on foliated bundles
- Homotopy invariance of η-invariants
- Spectral asymmetry and Riemannian Geometry. I
- Spectral asymmetry and Riemannian geometry. II
- Spectral asymmetry and Riemannian geometry. III
- Index theory, bordism, and 𝐾-homology
- Higher ρ -invariants and the surgery structure set
- Bordism invariance in KK-theory
This page was built for publication: Realizing the analytic surgery group of Higson and Roe geometrically. II: Relative \(\eta\)-invariants