Zeta Functions, Determinants and Torsion for Open Manifolds

1997/07/10 by Jürgen Eichhorn, J. Eichhorn, Eichhorn, J.
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory in Mathematical Physics #dg-ga #math.DG

paper · pdf · doi:10.48550/arxiv.dg-ga/9707007

arxiv created 1997/07/10 · openalex publication_date 1997/07/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

On an open manifold, the spaces of metrics or connections of bounded geometry, respectively, split into an uncountable number of components. We show that for a pair of metrics or connections, belonging to the same component, relative ζ-functions, determinants, torsion for pairs of generalized Dirac operators are well defined.

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