On localized signature and higher rho invariant of fibered manifolds
From MaRDI portal
Publication:2073904
DOI10.4171/JNCG/426zbMath1484.19009arXiv1908.10542MaRDI QIDQ2073904
Publication date: 8 February 2022
Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.10542
Exotic index theories on manifolds (58J22) Fiber bundles in algebraic topology (55R10) Surgery obstructions ((K)-theoretic aspects) (19J25)
Related Items (1)
Cites Work
- Unnamed Item
- The surgery exact sequence, \(K\)-theory and the signature operator
- Localization algebras and the coarse Baum-Connes conjecture
- Roe \(C^*\)-algebra for groupoids and generalized Lichnerowicz vanishing theorem for foliated manifolds
- Additivity of higher rho invariant for the topological structure group from a differential point of view
- Positive scalar curvature, higher rho invariants and localization algebras
- Mapping surgery to analysis. III: Exact sequences
- Mapping surgery to analysis. II: Geometric signatures
- Mapping surgery to analysis. I: Analytic signatures
- Positive scalar curvature and product formulas for secondary index invariants
- Mapping the surgery exact sequence for topological manifolds to analysis
- Product formula for Atiyah-Patodi-Singer index classes and higher signatures
- A coarse Mayer–Vietoris principle
- On the Index of a Fibered Manifold
- Higher invariants in noncommutative geometry
- Additivity of Higher Rho Invariants and Nonrigidity of Topological Manifolds
- Higher Index Theory
- Coarse cohomology and index theory on complete Riemannian manifolds
- Higher ρ -invariants and the surgery structure set
This page was built for publication: On localized signature and higher rho invariant of fibered manifolds