The holomorphic torsion forms of the de Rham complex

DOI10.1016/S1631-073X(02)02469-XzbMath1019.32016OpenAlexW2039612489MaRDI QIDQ1854697

Jean-Michel Bismut

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02469-x

zbMATH Keywords

characteristic classesClifford algebraexterior algebraHermitian metricforms of analytic torsion of de Rham complexKähler fiber bundleLefschetz-Atiyah-Bott formulaLevi-Civita superconnectionssuperconnection formsvanishing of the holomorphic torsion forms

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) Vanishing theorems (32L20)

Cites Work

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• A Lefschetz fixed point formula for elliptic complexes. I
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• Holomorphic immersions and equivariant torsion forms
• Flat Vector Bundles, Direct Images and Higher Real Analytic Torsion

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