Regularized determinants of Laplace-type operators, analytic surgery, and relative determinants
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Publication:2496929
DOI10.1215/S0012-7094-06-13323-9zbMath1111.58026arXivmath/0411634MaRDI QIDQ2496929
Publication date: 25 July 2006
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0411634
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Determinants and determinant bundles, analytic torsion (58J52)
Related Items (18)
Spectral determinants on Mandelstam diagrams ⋮ Super-zeta functions and regularized determinants associated with cofinite Fuchsian groups with finite-dimensional unitary representations ⋮ The BFK-gluing formula and relative determinants on manifolds with cusps ⋮ Gluing formula for Casimir energies ⋮ The Burghelea-Friedlander-Kappeler–gluing formula for zeta-determinants on a warped product manifold and a product manifold ⋮ A general approximation of quantum graph vertex couplings by scaled Schrödinger operators on thin branched manifolds ⋮ The determinant of the Lax-Phillips scattering operator ⋮ The BFK-gluing formula and the curvature tensors on a 2-dimensional compact hypersurface ⋮ The Loewner energy via the renormalised energy of moving frames ⋮ The polynomial associated with the BFK-gluing formula of the zeta-determinant on a compact warped product manifold ⋮ The gluing formula of the refined analytic torsion for an acyclic Hermitian connection ⋮ The zeta-determinants of Dirac Laplacians with boundary conditions on the smooth, self-adjoint Grassmannian ⋮ Analytic surgery of the zeta function ⋮ Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone ⋮ Relative zeta-determinants of Dirac Laplacians on a half-infinite cylinder with boundary conditions in the smooth, self-adjoint Grassmannian ⋮ Asymptotic expansions of the zeta-determinants of Dirac Laplacians on a compact manifold with boundary ⋮ Precise constants in bosonization formulas on Riemann surfaces. I ⋮ The BFK-gluing formula for zeta-determinants and the conformal rescaling of a metric
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