Holomorphic equivariant analytic torsions

DOI10.1007/PL00001654zbMath0974.58033MaRDI QIDQ5930037

Sebastian Goette, Jean-Michel Bismut

Publication date: 30 November 2001

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

zbMATH Keywords

Bott-Chern currentsequivariant analytic torsionLefschetz formulasQuillin metricsRiemann-Roch

Mathematics Subject Classification ID

Determinants and determinant bundles, analytic torsion (58J52)

Related Items (9)

Duistermaat–Heckman formulas and index theory ⋮ Comparison of two equivariant \(\eta\)-forms ⋮ Analytic torsion forms for fibrations by projective curves ⋮ Geometric quantization of Hamiltonian flows and the Gutzwiller trace formula ⋮ Differential \(K\)-theory and localization formula for \(\eta \)-invariants ⋮ A fixed point formula of Lefschetz type in Arakelov geometry. I: Statement and proof ⋮ Geometric quantization of symplectic maps and Witten's asymptotic conjecture ⋮ Differential \(K\)-theory, \(\eta\)-invariant, and localization ⋮ Equivariant η-invariants and η-forms

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