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Analytic torsion and R-torsion for manifolds with boundary

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Publication:5929579
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DOI10.4310/AJM.2000.v4.n3.a10zbMath0996.58021arXivmath/9901052MaRDI QIDQ5929579

Hao Fang, Xianzhe Dai

Publication date: 5 April 2001

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9901052

zbMATH Keywords

analytic torsionmanifold with boundaryReidemeister torsion


Mathematics Subject Classification ID

Differential topology (57R99) Determinants and determinant bundles, analytic torsion (58J52) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10)


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A renormalized index theorem for some complete asymptotically regular metrics: the Gauss-Bonnet theorem, Anomaly formulas for the complex-valued analytic torsion on compact bordisms, The analytic torsion of a cone over an odd dimensional manifold, The analytic torsion of a disc, The Metric Anomaly of Analytic Torsion on Manifolds with Conical Singularities, Residue-torsion and the Laplacian on Riemannian manifolds, A Cheeger-Müller theorem for symmetric bilinear torsions on manifolds with boundary, An anomaly formula for Ray-Singer metrics on manifolds with boundary, A Cheeger-Müller theorem for Cappell-Miller torsions on manifolds with boundary



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