The asymptotics of the Ray-Singer analytic torsion of the symmetric powers of a positive vector bundle

DOI10.5802/aif.1237zbMath0711.32015OpenAlexW2065823104MaRDI QIDQ923172

Jean-Michel Bismut, Eric Vasserot

Publication date: 1990

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1990__40_4_835_0

zbMATH Keywords

asymptoticsRay-Singer analytic torsionholomorphic Hermitian positive vector bundle

Mathematics Subject Classification ID

Kähler-Einstein manifolds (32Q20) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

Related Items (7)

The Asymptotics of the Ray-Singer Analytic Torsion of Hyperbolic 3-manifolds ⋮ The asymptotics of the holomorphic torsion forms ⋮ The asymptotics of the holomorphic analytic torsion forms ⋮ Toeplitz operators and the full asymptotic torsion forms ⋮ Toeplitz operators and asymptotic analytic torsion ⋮ ASYMPTOTIC TORSION AND TOEPLITZ OPERATORS ⋮ On the full asymptotics of analytic torsion

Cites Work

• Superconnections and the Chern character
• The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
• Demailly's asymptotic Morse inequalities: a heat equation proof
• Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants
• The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle
• Analytic torsion for complex manifolds
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