L2-RHO FORM FOR NORMAL COVERINGS OF FIBER BUNDLES

DOI10.1142/S0129167X11007161zbMath1229.58020arXiv0704.0909MaRDI QIDQ3093016

Sara Azzali

Publication date: 12 October 2011

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.0909

zbMATH Keywords

positive scalar curvatureindex theoryeta form\(L^2\)-invariantsrho form

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Eta-invariants, Chern-Simons invariants (58J28) Index theory (19K56)

Cites Work

• Families index for manifolds with boundary, superconnections, and cones. I: Families of manifolds with boundary and Dirac operators
• Groups with torsion, bordism and rho invariants
• The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
• The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem
• An index theorem on open manifolds. I. II
• Von Neumann spectra near zero
• Heat kernels on covering spaces and topological invariants
• Higher eta-invariants
• Spectral sections and higher Atiyah-Patodi-Singer index theory on Galois coverings
• Families of Dirac operators, boundaries and the \(B\)-calculus
• The Novikov conjecture for low degree cohomology classes
• On Invariants of Hirzebruch and Cheeger-Gromov
• On higher eta-invariants and metrics of positive scalar curvature
• Index theory and non-commutative geometry. I: Higher families index theory
• A general families index theorem
• Bounds on the von Neumann dimension of \(L^ 2\)-cohomoloy and the Gauss- Bonnet theorem for open manifolds
• The eta invariant and metrics of positive scalar curvature
• Bismut superconnections and the Chern character for Dirac operators on foliated manifolds
• Superconnections and higher index theory
• Local index theory over foliation groupoids
• Von Neumann Eta-Invariants and C *-Algebra K -Theory
• Spectral asymmetry and Riemannian Geometry. I
• Spectral asymmetry and Riemannian geometry. II

This page was built for publication: L²-RHO FORM FOR NORMAL COVERINGS OF FIBER BUNDLES