An identification of the connections of Quillen and Beilinson-Schechtman

DOI10.1007/BF02099979zbMath0799.32024OpenAlexW2013007219MaRDI QIDQ1317401

Yue Lin L. Tong, I-Hsun Tsai

Publication date: 9 November 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02099979

zbMATH Keywords

connectionsdeterminant bundlefamily of compact Riemann surfaces

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Determinants and determinant bundles, analytic torsion (58J52) Riemann surfaces (30F99)

Related Items (1)

Curvature of determinant bundles for degenerate families

Cites Work

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• On deformations of Kähler spaces. II
• The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
• Determinants of Cauchy-Riemann operators on a Riemann surface
• 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
• Determinant bundles and Virasoro algebras
• A parametrix for \(\overline\partial\) and Riemann-Roch in Cech theory
• Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
• An analytic proof of Riemann-Roch-Hirzebruch theorem for Kaehler manifolds

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