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math.DG2001
Adiabatic decomposition of the zeta-determinant of the Dirac Laplacian I. The case of an invertible tangential operator. With an appendix by Yoonweon Lee
Jinsung Park, Krzysztof P. Wojciechowski
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 in…
math.DG2001
Eta invariants and regularized determinants for odd dimensional hyperbolic manifolds with cusps
Jinsung Park
We study the eta invariants of Dirac operators and the regularized determinants of Dirac Laplacians over hyperbolic manifolds with cusps. We follow Werner M"uller and use relative…
math.DG2001
Adiabatic decomposition of the zeta-determinant and Scattering theory
Jinsung Park, Krzysztof P. Wojciechowski
We discuss the decomposition of the zeta-determinant of the square of the Dirac operator into contributions coming from the different parts of the manifold. The easy case was worke…