Local index theory and higher analytic torsion

zbMath0982.58016MaRDI QIDQ1129842

Jean-Michel Bismut

Publication date: 24 August 1998

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/231023

zbMATH Keywords

analytic torsion formscharacteristic classes and numbersAtiyah-Singer index theoremflat vector bundlessecondary invariantanalytic torsion currentslocal families index theoremsheaves and cohomology of sections of holomorphic vector bundlestheorem of Riemann-Roch-Grothendieck

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (4)

Adiabatic limits of \(\eta \)-invariants and the Meyer functions ⋮ Asymptotics of the spectrum of the Laplace operator on Riemannian sol-manifolds in the adiabatic limit ⋮ Analytic torsion of Hirzebruch surfaces ⋮ The mathematical work of V. K. Patodi

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