Analytic torsion and holomorphic determinant bundles

1988/06/01 by Jean-Michel Bismut, Jean‐Michel Bismut, Henri Gillet +1 · 5 citations
Mathematics · #Advanced Algebra and Geometry #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · doi:10.1007/bf01466774

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

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
• Henri Gillet [wikipedia]