A gluing formula for the analytic torsion on singular spaces
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Publication:371162
DOI10.2140/apde.2013.6.221zbMath1276.58010arXiv1203.2793OpenAlexW3100865552MaRDI QIDQ371162
Publication date: 27 September 2013
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.2793
Elliptic equations on manifolds, general theory (58J05) Differential complexes (58J10) Determinants and determinant bundles, analytic torsion (58J52) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
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Zeta and Fredholm determinants of self-adjoint operators ⋮ Cheeger-Müller theorem on manifolds with cusps ⋮ A Cheeger-Müller theorem for manifolds with wedge singularities ⋮ Refined analytic torsion as analytic function on the representation variety and applications ⋮ Analytic torsion and R-torsion of Witt representations on manifolds with cusps ⋮ Scattering matrix and analytic torsion ⋮ Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps ⋮ A GLUING FORMULA FOR THE ANALYTIC TORSION ON HYPERBOLIC MANIFOLDS WITH CUSPS ⋮ An index formula for the intersection Euler characteristic of an infinite cone ⋮ The Metric Anomaly of Analytic Torsion on Manifolds with Conical Singularities ⋮ On the Cheeger–Müller theorem for an even-dimensional cone ⋮ An extension of a theorem by Cheeger and Müller to spaces with isolated conical singularities ⋮ An extension of a theorem by Cheeger and Müller to spaces with isolated conical singularities ⋮ Resolvent trace asymptotics on stratified spaces ⋮ Resolvent, heat kernel, and torsion under degeneration to fibered cusps
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