Holomorphic $L^2$ torsion without determinant class condition

DOI10.1090/S0002-9939-2015-12565-8zbMath1327.58031MaRDI QIDQ2944803

Guangxiang Su

Publication date: 8 September 2015

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

zbMATH Keywords

positive line bundleholomorphic \(L^2\) torsion, determinant class condition

Mathematics Subject Classification ID

Determinants and determinant bundles, analytic torsion (58J52)

Related Items (1)

The Asymptotics of the $L^2$-analytic Torsion on CR Manifolds with $S^1$ Action

Cites Work

• Superconnections and the Chern character
• Superconnections, Thom classes, and equivariant differential forms
• Determinants of Cauchy-Riemann operators on a Riemann surface
• Analytic and Reidemeister torsion for representations in finite type Hilbert modules
• \(L^ 2\)-analytic torsion
• Heat kernels on covering spaces and topological invariants
• \(L^ 2\)-torsion invariants
• The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle
• Von Neumann categories and extended \(L^2\)-cohomology
• Holomorphic Morse inequalities and Bergman kernels
• Analytic torsion for complex manifolds
• An extended Cheeger-Müller theorem for covering spaces
• Determinant lines, von Neumann algebras and $L^2$ torsion
• De Rham theorem for extended L^2-cohomology
• Correspondences, von Neumann Algebras and Holomorphic L² Torsion
• L² TORSION WITHOUT THE DETERMINANT CLASS CONDITION AND EXTENDED L² COHOMOLOGY

This page was built for publication: Holomorphic $L^2$ torsion without determinant class condition