Local and global theory of the moduli of polarized Calabi-Yau manifolds

DOI10.4171/RMI/365zbMath1058.32019MaRDI QIDQ1884055

Andrey N. Todorov

Publication date: 25 October 2004

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39709

zbMATH Keywords

Calabi-Yau manifoldsmoduli spacesTeichmüller spaces

Mathematics Subject Classification ID

Calabi-Yau theory (complex-analytic aspects) (32Q25) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Algebraic moduli problems, moduli of vector bundles (14D20)

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Cites Work

• 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 analysis of elliptic families. I: Metrics and connections on determinant bundles
• Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
• Periods of integrals on algebraic manifolds. III: Some global differential-geometric properties of the period mapping
• Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)
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