A mod \(k\) index theorem

DOI10.1007/BF01231891zbMath0760.58039MaRDI QIDQ1187487

Daniel S. Freed, Richard B. Melrose

Publication date: 22 July 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143967

zbMATH Keywords

Dirac operators\(\mathbb{Z}/k\)-manifoldindex-theorytotally characteristic pseudodifferential operators

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Exotic index theories on manifolds (58J22)

Related Items

Differential K-Theory: A Survey, Geometric K-homology with coefficients I: ℤ/kℤ-cycles and Bockstein sequence, On the expansion of the resolvent for elliptic boundary contact problems, A characterization of graphs where the independence number equals the radius, Adams operations in smooth \(K\)-theory, A geometric proof of the Atiyah-Patodi-Singer mod \(k\) index theorem for Dirac operators, Circle actions and \(\mathbb{Z}/k\)-manifolds., The \(f\)-invariant and index theory, Some connections between Bunke-Schick differential \(K\)-theory and topological \(\mathbb{Z}/k\mathbb{Z}\) \(K\)-theory, Analytic and topological index maps with values in the \(K\)-theory of mapping cones, A new proof of an index theorem of Freed and Melrose, An index theorem for odd-dimensional \(\mathbb{Z}/k\mathbb{Z}\)-manifolds, Rigidity and vanishing theorems on ℤ/𝕜 Spin^{𝕔} manifolds, Boundaries, spectral triples and \(K\)-homology, Manifolds with singularities accepting a metric of positive scalar curvature, Geometric K-homology with coefficients II: The Analytic Theory and Isomorphism, On the topological contents of \(\eta\)-invariants

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