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arxiv: math/0112174 · v2 · submitted 2001-12-18 · 🧮 math.DG · math.SP

Adiabatic decomposition of the zeta-determinant of the Dirac Laplacian I. The case of an invertible tangential operator. With an appendix by Yoonweon Lee

classification 🧮 math.DG math.SP
keywords operatorcasedecompositiondiracinvertibletangentialzeta-determinantadiabatic
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we discuss the decomposition of the zeta-determinant of the square of the Dirac operator into the contributions coming from the different parts of the manifold in the case of an invertible tangential operator.

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