An index formula for the intersection Euler characteristic of an infinite cone

DOI10.1007/s00209-019-02423-5zbMath1460.58018OpenAlexW2991621899WikidataQ126745360 ScholiaQ126745360MaRDI QIDQ5918939

Ursula Ludwig

Publication date: 1 September 2020

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

Full work available at URL: https://doi.org/10.1007/s00209-019-02423-5

zbMATH Keywords

analytic torsionWitten deformationconic singularities

Mathematics Subject Classification ID

Determinants and determinant bundles, analytic torsion (58J52)

Cites Work

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• A gluing formula for the analytic torsion on singular spaces
• The resolvent expansion for second order regular singular operators
• The analytic torsion of a cone over an odd dimensional manifold
• Intersection homology. II
• Spectral geometry of singular Riemannian spaces
• Families index for manifolds with boundary, superconnections, and cones. I: Families of manifolds with boundary and Dirac operators
• The analytic torsion of a cone over a sphere
• Analytic torsion of a bounded generalized cone
• Superconnections, Thom classes, and equivariant differential forms
• Intersection R-torsion and analytic torsion for pseudomanifolds
• Intersection homology theory
• Hilbert complexes
• The boundary integrand in the formula for the signature and Euler characteristic of a Riemannian manifold with boundary
• Analytic torsion and R-torsion of Riemannian manifolds
• Analytic torsion and the heat equation
• Kähler-Hodge theory for conformal complex cones
• Milnor and Ray-Singer metrics on the equivariant determinant of a flat vector bundle
• Generalized Ray-Singer conjecture. I: A manifold with a smooth boundary
• Analytic torsion and R-torsion of Witt representations on manifolds with cusps
• On the heat equation and the index theorem
• A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds
• An Index Theorem for First Order Regular Singular Operators
• On the spectral geometry of spaces with cone-like singularities
• Differential operators of Fuchs type, conical singularities, and asymptotic methods
• The Metric Anomaly of Analytic Torsion on Manifolds with Conical Singularities
• An index formula for the intersection Euler characteristic of an infinite cone
• Comparison between two complexes on a singular space
• An extension of a theorem by Cheeger and Müller to spaces with isolated conical singularities
• An anomaly formula for Ray-Singer metrics on manifolds with boundary