Relative zeta determinants and the geometry of the determinant line bundle

DOI10.1090/S1079-6762-01-00089-0zbMath0983.58014OpenAlexW165939865MaRDI QIDQ2761162

Simon G. Scott

Publication date: 17 December 2001

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/230100

zbMATH Keywords

elliptic boundary value problemsdeterminant line bundlerelative zeta determinants

Mathematics Subject Classification ID

Anomalies in quantum field theory (81T50) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (1)

Zeta determinants on manifolds with boundary

Cites Work

• Unnamed Item
• Functional determinants and geometry
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• On the determinant of one-dimensional elliptic boundary value problems
• Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems
• Zeta and eta functions for Atiyah-Patodi-Singer operators
• Splitting the curvature of the determinant line bundle

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