Families torsion and Morse functions for covering spaces

DOI10.1007/s00209-021-02865-wzbMath1506.58013arXiv1801.08824OpenAlexW3202884386MaRDI QIDQ2114138

Guangxiang Su

Publication date: 15 March 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.08824

zbMATH Keywords

Cheeger-Müller theorem\(L^2\)-analytic torsion form\(L^2\)-combinatorial torsion formBismut-Zhang

Mathematics Subject Classification ID

Determinants and determinant bundles, analytic torsion (58J52)

Cites Work

• Determinants of Cauchy-Riemann operators on a Riemann surface
• Analytic and Reidemeister torsion for representations in finite type Hilbert modules
• Supersymmetry and Morse theory
• Von Neumann spectra near zero
• \(L^ 2\)-analytic torsion
• Heat kernels on covering spaces and topological invariants
• Complex immersions and Quillen metrics
• \(L^ 2\)-torsion invariants
• Analytic torsion and R-torsion of Riemannian manifolds
• Analytic torsion and the heat equation
• Large time limit and local \(L^2\)-index theorems for families
• Regularity of the analytic torsion form on families of normal coverings
• R-torsion and the Laplacian on Riemannian manifolds
• An extended Cheeger-Müller theorem for covering spaces
• Determinant lines, von Neumann algebras and $L^2$ torsion
• Cellular decompositions and Novikov-Shubin invariants
• Holomorphic immersions and equivariant torsion forms
• Flat Vector Bundles, Direct Images and Higher Real Analytic Torsion
• Analytic Torsion and R-Torsion for Unimodular Representations
• Whitehead torsion
• L² TORSION WITHOUT THE DETERMINANT CLASS CONDITION AND EXTENDED L² COHOMOLOGY
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