1986/01/01 by Henri Gillet, Christophe Soulé · 4 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds
paper · pdf · doi:10.1090/s0273-0979-1986-15476-5
openalex publication_date 1986/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Introduction. We introduce higher analogues of analytic torsion, which are form valued. Using this construction we obtain, in the case of the projection map for a product, a Grothendieck-Riemann-Roch theorem for hermitian holomorphic vector bundles which is an equality between differential forms. This is related to work of Quillen [6] and of Bismut and Freed [1].