An index theorem for odd-dimensional \(\mathbb{Z}/k\mathbb{Z}\)-manifolds

DOI10.35834/2020/3202188zbMath1481.19007OpenAlexW3095564873MaRDI QIDQ2072019

Adnane Elmrabty, Mohamed Maghfoul

Publication date: 31 January 2022

Published in: Missouri Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.mjms/1604631626

zbMATH Keywords

spectral flowdirect imageindex theoremsgeometric \(K\)-homology\(\mathbb{Z}/K\mathbb{Z}\)-manifold

Mathematics Subject Classification ID

Ext and (K)-homology (19K33) Index theory (19K56) Spectral flows (58J30)

Cites Work

• Unnamed Item
• Unnamed Item
• A \(K\)-theory proof of the cobordism invariance of the index
• \({\mathbb{Z}}/k\)-manifolds and families of Dirac operators
• A mod \(k\) index theorem
• The odd Chern character in cyclic homology and spectral flow
• A general splitting formula for the spectral flow. With an appendix by K. P. Wojciechowski
• Some connections between Bunke-Schick differential \(K\)-theory and topological \(\mathbb{Z}/k\mathbb{Z}\) \(K\)-theory
• An index theorem for Toeplitz operators on odd-dimensional manifolds with boundary
• Differential characters in \(K\)-theory
• The representation ring of a compact Lie group
• Geometric K-homology with coefficients I: ℤ/kℤ-cycles and Bockstein sequence
• On the Spectral Flow for Dirac Operators with Local Boundary Conditions
• A Geometric Description of Equivariant K-Homology for Proper Actions
• AN APPROACH TO ℤ/k-INDEX THEORY
• Index theory, eta forms, and Deligne cohomology
• Spectral asymmetry and Riemannian Geometry. I
• Index Theory and the Baum-Connes conjecture
• Riemann-Roch theorems for differentiable manifolds

This page was built for publication: An index theorem for odd-dimensional \(\mathbb{Z}/k\mathbb{Z}\)-manifolds