Analytic and topological invariants associated to nowhere zero vector fields

DOI10.2140/pjm.1999.187.379zbMath0941.58014OpenAlexW1964728093MaRDI QIDQ1305088

Weiping Zhang

Publication date: 1 August 2000

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

Full work available at URL: https://doi.org/10.2140/pjm.1999.187.379

zbMATH Keywords

vector fieldToeplitz operatorGauss-Bonnet theoremeta invariantspectral flowPoincaré-Hopf theoremKervaire semi-characteristicmod 2 index

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Index theory and related fixed-point theorems on manifolds (58J20) Eta-invariants, Chern-Simons invariants (58J28) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Spectral flows (58J30)

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The operator \(\sqrt{-1}\widehat{c}(V)(d+\delta)\) and the Kastler-Kalau-Walze type theorems ⋮ A mod 2 index theorem for the twisted signature operator ⋮ A note on the Kervaire semi-characteristic

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