Sub-signature operators, \(\eta\)-invariants and a Riemann-Roch theorem for flat vector bundles

DOI10.1142/S0252959904000032zbMath1044.58028OpenAlexW2347533167MaRDI QIDQ1429994

Weiping Zhang

Publication date: 27 May 2004

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0252959904000032

zbMATH Keywords

Riemann-Roch\(\eta\)-invariantsadiabatic limitflat vector bundlessub-signature operators

Mathematics Subject Classification ID

Eta-invariants, Chern-Simons invariants (58J28)

Related Items (7)

Twisted Dirac operators and the noncommutative residue for manifolds with boundary ⋮ Sub-signature operators and the Kastler-Kalau-Walze type theorem for five dimensional manifolds with boundary ⋮ A note on traces of conformal twisted signature operators ⋮ Local index theory and the Riemann–Roch–Grothendieck theorem for complex flat vector bundles ⋮ Eta-invariants, torsion forms and flat vector bundles ⋮ Adiabatic limit, Bismut-Freed connection, and the real analytic torsion form ⋮ Sub-signature operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary

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