Direct images of Hermitian holomorphic bundles

DOI10.1090/S0273-0979-1986-15476-5zbMath0618.58035OpenAlexW1964016206MaRDI QIDQ4727906

Henri A. Gillet, Christophe Soule

Publication date: 1986

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1986-15476-5

zbMATH Keywords

analytic torsionGrothendieck-Riemann-Roch theorem

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Holomorphic bundles and generalizations (32L05) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (6)

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 ⋮ Analytic torsion forms for fibrations by projective curves ⋮ Families index for manifolds with boundary, superconnections and cones. II: The Chern character ⋮ On Bott-Chern forms and their applications ⋮ A local index theorem for families of \({\bar \partial}\)-operators on punctured Riemann surfaces and a new Kähler metric on their moduli spaces ⋮ Potential of the Weil-Petersson metric on the Torelli space

Cites Work

• Superconnections and the Chern character
• The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
• Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
• The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".
• Unnamed Item
• Unnamed Item

This page was built for publication: Direct images of Hermitian holomorphic bundles