The asymptotics for Cappell-Miller holomorphic torsion

DOI10.1007/s00229-017-0926-7zbMath1391.32028OpenAlexW2595682682MaRDI QIDQ1679198

Guangxiang Su

Publication date: 8 November 2017

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-017-0926-7

zbMATH Keywords

analytic torsionholomorphic vector bundleDolbeault complexline bundle

Mathematics Subject Classification ID

Determinants and determinant bundles, analytic torsion (58J52) Holomorphic bundles and generalizations (32L05)

Cites Work

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• On the anomaly formula for the Cappell-Miller holomorphic torsion
• The spin\(^{\mathbf c}\) Dirac operator on high tensor powers of a line bundle
• 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
• Complex immersions and Quillen metrics
• The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle
• The asymptotics of the holomorphic torsion forms
• Holomorphic Morse inequalities and Bergman kernels
• R-torsion and the Laplacian on Riemannian manifolds
• Analytic torsion for complex manifolds
• Complex‐valued analytic torsion for flat bundles and for holomorphic bundles with (1,1) connections

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