Realization of an equivariant holomorphic Hermitian line bundle as a Quillen determinant bundle

DOI10.1090/S0002-9939-2015-12512-9zbMath1332.32024arXiv1404.0458MaRDI QIDQ5246946

Indranil Biswas

Publication date: 22 April 2015

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

Full work available at URL: https://arxiv.org/abs/1404.0458

zbMATH Keywords

equivariant holomorphic line bundleQuillen determinant bundle

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Holomorphic bundles and generalizations (32L05)

Cites Work

• Unnamed Item
• 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
• HOLOMORPHIC QUILLEN DETERMINANT LINE BUNDLES ON INTEGRAL COMPACT KAHLER MANIFOLDS

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