Parallel transport in the determinant line bundle: The non-zero index case

DOI10.1007/BF01239012zbMath0629.53029OpenAlexW4232581549MaRDI QIDQ1093923

Stephen DellaPietra, Vincent Della Pietra

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01239012

zbMATH Keywords

Dirac operatorspin manifoldparallel transportWeyl operatorsHermitian vector bundledeterminant line bundle

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Connections (general theory) (53C05) Fiber bundles in algebraic topology (55R10)

Related Items (3)

Parallel transport in the determinant line bundle: The zero index case ⋮ η-invariants and determinant lines ⋮ The chiral determinant and the eta invariant

Cites Work

• Determinants of Cauchy-Riemann operators on a Riemann surface
• Parallel transport in the determinant line bundle: The zero index case
• The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem
• The chiral determinant and the eta invariant
• On the heat equation and the index theorem
• The eta invariant for a class of elliptic boundary value problems
• Spectral asymmetry and Riemannian Geometry. I
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