Determinants of Dirac boundary value problems over odd-dimensional manifolds

DOI10.1007/BF02100181zbMath0840.58049OpenAlexW2081614720WikidataQ125553925 ScholiaQ125553925MaRDI QIDQ1901803

Simon G. Scott

Publication date: 7 July 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02100181

zbMATH Keywords

Dirac operatordeterminantelliptic selfadjoint boundary value problemodd-dimensional manifold

Mathematics Subject Classification ID

Boundary value problems on manifolds (58J32) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (14)

Zeta determinants on manifolds with boundary ⋮ A localization criterion for the eigenvalues of a spectrally unstable operator ⋮ Determinant bundles, manifolds with boundary and surgery ⋮ Log TQFT ⋮ \(\eta \) forms and determinant lines ⋮ The zeta-determinants of Dirac Laplacians with boundary conditions on the smooth, self-adjoint Grassmannian ⋮ The gluing formula of the zeta-determinants of Dirac Laplacians for certain boundary conditions ⋮ On the Birkhoff-Tamarkin-Langer conditions and a conjecture of Davies ⋮ Relative zeta-determinants of Dirac Laplacians on a half-infinite cylinder with boundary conditions in the smooth, self-adjoint Grassmannian ⋮ The Regularity of the Eta Function for Perturbations of Order -(dim X) of the Atiyah-Patodi-Singer Boundary Problem ⋮ Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems ⋮ The Calderón projection: New definition and applications ⋮ Splitting the curvature of the determinant line bundle ⋮ Determinants and periodic solutions of delay equations

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