Transgressed Euler classes of ${\rm SL}(2n,\mathbf{Z})$ vector bundles, adiabatic limits of eta invariants and special values of $L$-functions

DOI10.24033/asens.1653zbMath0768.58048OpenAlexW2298252177WikidataQ102243609 ScholiaQ102243609MaRDI QIDQ4022710

Jeff Cheeger, Jean-Michel Bismut

Publication date: 17 January 1993

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1992_4_25_4_335_0

zbMATH Keywords

\(L\) functionseta invariantEuler classzeta functionslocal families index theoremsignature of the Hilbert modular varieties

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Index theory and related fixed-point theorems on manifolds (58J20) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items

Index Theory and the Hypoelliptic Laplacian ⋮ Adiabatic limits of \(\eta \)-invariants and the Meyer functions ⋮ THE EQUIVARIANT CHEEGER–MÜLLER THEOREM ON LOCALLY SYMMETRIC SPACES ⋮ Nonlocal invariants in index theory ⋮ APS boundary conditions, eta invariants and adiabatic limits ⋮ Circle Bundles and the Kreck-Stolz Invariant ⋮ Transgressions of the Euler class and Eisenstein cohomology of \(\mathrm{GL}_N(\text{Z})\) ⋮ The mathematical work of V. K. Patodi ⋮ Circle bundles, adiabatic limits of \(\eta\)-invariants and Rokhlin congruences

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