On Carvalho’s $K$-theoretic formulation of the cobordism invariance of the index

DOI10.1090/S0002-9939-06-08347-XzbMath1111.58020arXivmath/0612217MaRDI QIDQ3419919

Sergiu Moroianu

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612217

zbMATH Keywords

noncommutative residuecusp pseudodifferential operators

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (3)

Cobordism invariance of the family index ⋮ The Atiyah-Singer cobordism invariance and the tangent groupoid ⋮ Bordism invariance of the coarse index

Cites Work

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• The eta invariant and families of pseudodifferential operators
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• TEMPERED OPERATORS AND THE HEAT KERNEL AND COMPLEX POWERS OF ELLIPTIC PSEUDODIFFERENTIAL OPERATORS
• New proof of the cobordism invariance of the index
• Spectral asymmetry and Riemannian geometry. III
• On the cobordism invariance of the index of Dirac operators
• The index of elliptic operators on compact manifolds

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