ASYMPTOTIC TORSION AND TOEPLITZ OPERATORS

DOI10.1017/S1474748015000171zbMath1381.58015OpenAlexW2594187514MaRDI QIDQ2975022

Weiping Zhang, Xiaonan Ma, Jean-Michel Bismut

Publication date: 11 April 2017

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1474748015000171

zbMATH Keywords

analytic torsionindex theory and related fixed point theoremsdeterminants and determinant bundles

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Index theory and related fixed-point theorems on manifolds (58J20) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (18)

The direct image of a flat fibration with complex fibers ⋮ A Cheeger-Müller theorem for manifolds with wedge singularities ⋮ Analytic torsion and R-torsion of Witt representations on manifolds with cusps ⋮ Regularity of the analytic torsion form on families of normal coverings ⋮ Analytic torsion, dynamical zeta functions, and the Fried conjecture ⋮ Asymptotics of twisted Alexander polynomials and hyperbolic volume ⋮ The asymptotics of the holomorphic analytic torsion forms ⋮ Toeplitz operators and the full asymptotic torsion forms ⋮ Hypoelliptic Laplacian and twisted trace formula ⋮ From Local Index Theory to Bergman Kernel: A Heat Kernel Approach ⋮ Analytic torsion, dynamical zeta function, and the Fried conjecture for admissible twists ⋮ Superconnection and family Bergman kernels ⋮ Hypoelliptic Laplacian and twisted trace formula ⋮ Exponential growth of torsion in the cohomology of arithmetic hyperbolic manifolds ⋮ Asymptotic equivariant real analytic torsions for compact locally symmetric spaces ⋮ On the full asymptotics of analytic torsion ⋮ Resolvent, heat kernel, and torsion under degeneration to fibered cusps ⋮ Asymptotics of analytic torsion for hyperbolic three-manifolds

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