Analytic torsion and holomorphic determinant bundles

1988/06/01 by Jean-Michel Bismut, Jean‐Michel Bismut, Henri Gillet +1 · 330 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic number #Chern class #Connection (principal bundle) #Curvature #Geometry #Geometry and complex manifolds #Hermitian manifold #Hermitian matrix #Holomorphic function #Homotopy and Cohomology in Algebraic Topology #Line bundle #Mathematical analysis #Mathematics #Metric (unit) #Pure mathematics #Scalar curvature #Torsion (gastropod) #Vector bundle

paper · doi:10.1007/bf01466774

published in Communications in Mathematical Physics 115(2), 301-351 (Springer Science+Business Media)

crossref issued 1988/06/01 · crossref published 1988/06/01 · crossref published-print 1988/06/01 · openalex publication_date 1988/06/01 · crossref created 2005/04/13 · crossref deposited 2020/04/06 · openalex created_date 2025/10/10 · crossref indexed 2026/06/18 · openalex updated_date 2026/07/23

Citations

• Direct images of Hermitian holomorphic bundles
• On the heat equation and the index theorem
• Analytic torsion and holomorphic determinant bundles I. Bott-Chern forms and analytic torsion
• Analytic torsion and holomorphic determinant bundles
• Higher algebraic K-theory: I
• R-Torsion and the Laplacian on Riemannian manifolds

Cited by

• On the boundary behavior of the curvature of L2-metrics
• Complex Valued Analytic Torsion for Flat Bundles and for Holomorphic Bundles with (1,1) Connections
• Nonlocal invariants in index theory
• Analytic torsion, vortices and positive Ricci curvature
• Counting BPS States on the Enriques Calabi-Yau
• Equivariant Kähler geometry and localization in the G/G model
• On the full asymptotics of analytic torsion
• Analytic Torsion and R-Torsion for Manifolds with Boundary
• Henri Gillet [wikipedia]