The asymptotics of the holomorphic torsion forms

DOI10.1016/J.CRMA.2015.11.004zbMath1387.32026OpenAlexW2310619142MaRDI QIDQ1695204

Martin Puchol

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.2015.11.004

Mathematics Subject Classification ID

Holomorphic bundles and generalizations (32L05) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (5)

The asymptotics for Cappell-Miller holomorphic torsion ⋮ Comparison of two equivariant \(\eta\)-forms ⋮ The asymptotics of the holomorphic analytic torsion forms ⋮ Superconnection and family Bergman kernels ⋮ On the full asymptotics of analytic torsion

Cites Work

• Unnamed Item
• Unnamed Item
• Toeplitz operators and asymptotic analytic torsion
• Superconnection and family Bergman kernels
• The asymptotics of the Ray-Singer analytic torsion of the symmetric powers of a positive vector bundle
• An arithmetic Riemann-Roch theorem in higher degrees
• 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 asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle
• Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
• Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry
• An arithmetic Riemann-Roch theorem
• Holomorphic Morse inequalities and Bergman kernels
• Analytic torsion for complex manifolds
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Quillen metrics and higher analytic torsion forms.
• Formes de torsion analytique et familles des submersions I

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