Quillen metrics and higher analytic torsion forms.

DOI10.1515/crll.1994.457.85zbMath0804.32017OpenAlexW73041835MaRDI QIDQ4314104

Alain Berthomieu, Jean-Michel Bismut

Publication date: 19 January 1995

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN00221217X

zbMATH Keywords

Bott-Chern classesanalytic torsionQuillen metricsQuillen norm

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Index theory and related fixed-point theorems on manifolds (58J20) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

Related Items (18)

BCOV invariant and blow-up ⋮ Duistermaat–Heckman formulas and index theory ⋮ Comparison of two equivariant \(\eta\)-forms ⋮ Motivic integration and birational invariance of BCOV invariants ⋮ The asymptotics of the holomorphic torsion forms ⋮ The asymptotics of the holomorphic analytic torsion forms ⋮ ASYMPTOTIC TORSION AND TOEPLITZ OPERATORS ⋮ Generalized holomorphic analytic torsion ⋮ Eta-invariants, torsion forms and flat vector bundles ⋮ Functoriality of equivariant eta forms ⋮ The hypoelliptic Laplacian on the cotangent bundle ⋮ Flat Vector Bundles, Direct Images and Higher Real Analytic Torsion ⋮ Analytic torsion of Hirzebruch surfaces ⋮ Formes de torsion analytique et familles des submersions I ⋮ Submersions and equivariant Quillen metrics ⋮ Collapsing and the differential form Laplacian: the case of a smooth limit space. ⋮ Functoriality of real analytic torsion forms. ⋮ Orbifold Submersion and Analytic Torsions

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