Real embeddings and eta invariants

DOI10.1007/BF01444909zbMath0795.57010MaRDI QIDQ1318031

Jean-Michel Bismut, Weiping Zhang

Publication date: 23 March 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165064

zbMATH Keywords

eta invariantscharacteristic classes and numbersChern-Simons currentsembedding of real compact odd dimensional manifoldsindex theory and fixed point theory

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Index theory and related fixed-point theorems on manifolds (58J20) Embeddings in differential topology (57R40)

Related Items (15)

Differential K-Theory: A Survey ⋮ Duistermaat–Heckman formulas and index theory ⋮ Riemann-Roch formulas for the Atiyah-Patodi-Singer \(\bmod\, k\) spectral flow and application to \(\bmod\, k\) index theory ⋮ Remarks on flat and differential \(K\)-theory ⋮ Circle actions and \(\mathbb{Z}/k\)-manifolds. ⋮ A mod 2 index theorem for \(\mathrm{pin}^-\) manifolds ⋮ Differential \(K\)-theory and localization formula for \(\eta \)-invariants ⋮ Some geometric results on \(K\)-theory with \(\mathbb{Z}/k\mathbb{Z}\)-coefficients ⋮ An index theorem in differential \(K\)-theory ⋮ A new proof of an index theorem of Freed and Melrose ⋮ Real embedding and equivariant eta forms ⋮ Kreck-Stolz invariants for quaternionic line bundles ⋮ Differential \(K\)-theory, \(\eta\)-invariant, and localization ⋮ The mathematical work of V. K. Patodi ⋮ Circle bundles, adiabatic limits of \(\eta\)-invariants and Rokhlin congruences

Cites Work

• Superconnection currents and complex immersions
• Bott-Chern currents and complex immersions
• Superconnections and the Chern character
• A short proof of the local Atiyah-Singer index theorem
• The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem
• Analytic torsion and the arithmetic Todd genus. (With an appendix by D. Zagier)
• Complex immersions and Quillen metrics
• On the heat equation and the index theorem
• Koszul Complexes, Harmonic Oscillators, and the Todd Class
• η-Invariants and Their Adiabatic Limits
• Spectral asymmetry and Riemannian Geometry. I
• Riemann-Roch theorems for differentiable manifolds
• Eta invariants and complex immersions

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