Adiabatic decomposition of the \(\zeta\)-determinant and scattering theory

DOI10.1307/mmj/1144437444zbMath1117.58016arXivmath/0111046OpenAlexW1990172642MaRDI QIDQ874376

Jinsung Park, Krzysztof P. Wojciechowski

Publication date: 5 April 2007

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111046

zbMATH Keywords

boundary value problemsdeterminantsindex theory

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Eta-invariants, Chern-Simons invariants (58J28) Boundary value problems on manifolds (58J32) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (6)

Zeta regularized determinants for conic manifolds ⋮ Scattering matrix and analytic torsion ⋮ Analytic surgery of the zeta function ⋮ Gluing formula of real analytic torsion forms and adiabatic limit ⋮ Determinant bundles, boundaries, and surgery ⋮ Asymptotic expansions of the zeta-determinants of Dirac Laplacians on a compact manifold with boundary

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