Circle bundles, adiabatic limits of \(\eta\)-invariants and Rokhlin congruences

DOI10.5802/aif.1396zbMath0792.57012OpenAlexW1981137711MaRDI QIDQ1323159

Weiping Zhang

Publication date: 7 August 1994

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1994__44_1_249_0

zbMATH Keywords

adiabatic limit of \(\eta\)-invariants of Dirac operators on circle bundlesanalytic treatment of the Rokhlin congruence formula

Mathematics Subject Classification ID

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

Related Items

GEOMETRY OF SPIN ANDSPIN^cSTRUCTURES IN THE M-THEORY PARTITION FUNCTION, Index Theory and the Hypoelliptic Laplacian, Modular invariance and characteristic numbers, ANOMALIES OF E₈ GAUGE THEORY ON STRING MANIFOLDS, Comparison of two equivariant \(\eta\)-forms, A mod 2 index theorem for \(\mathrm{pin}^-\) manifolds, Asymptotics of the eta invariant, Eta invariants of Dirac operators on circle bundles over Riemann surfaces and virtual dimensions of finite energy Seiberg-Witten moduli spaces, Pseudodifferential operators on manifolds with foliated boundaries, APS boundary conditions, eta invariants and adiabatic limits, Diabatic limit, eta invariants and Cauchy–Riemann manifolds of dimension 3☆, Even dimensional manifolds and generalized anomaly cancellation formulas, Circle Bundles and the Kreck-Stolz Invariant, An Application of the Index Theorem for Manifolds with Fibered Boundaries, Modular invariance and twisted cancellations of characteristic numbers, Cubic forms, anomaly cancellation and modularity, A local families index formula for \({\overline{\partial}}\)-operators on punctured Riemann surfaces, The Arf-Brown TQFT of pin⁻ surfaces, The mathematical work of V. K. Patodi

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