A Riemann-Roch-Grothendieck theorem for flat fibrations with complex fibers

DOI10.1016/j.crma.2016.01.011zbMath1380.19002OpenAlexW2297933410MaRDI QIDQ1695223

Yeping Zhang

Publication date: 7 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.crma.2016.01.011

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Index theory (19K56) Riemann-Roch theorems, Chern characters (19L10)

Related Items (1)

The direct image of a flat fibration with complex fibers

Cites Work

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• The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
• 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
• The index of elliptic operators. IV, V
• Flat Vector Bundles, Direct Images and Higher Real Analytic Torsion

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