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Analytic Torsion of a Bounded Generalized Cone

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Abstract

We compute the analytic torsion of a bounded generalized cone by generalizing the computational methods of M. Spreafico and using the symmetry in the de Rham complex, as established by M. Lesch. We evaluate our result in lower dimensions and further provide a separate computation of analytic torsion of a bounded generalized cone over S 1, since the standard cone over the sphere is simply a flat disc.

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  1. Department of Mathematics, University of Bonn, Endenicher Allee 60, 53115, Bonn, Germany

    Boris Vertman

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  1. Boris Vertman
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Correspondence to Boris Vertman.

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Communicated by S. Zelditch

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Vertman, B. Analytic Torsion of a Bounded Generalized Cone. Commun. Math. Phys. 290, 813–860 (2009). https://doi.org/10.1007/s00220-009-0862-9

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