The chiral determinant and the eta invariant

DOI10.1007/BF01208963zbMath0617.58031OpenAlexW1542364264MaRDI QIDQ1822113

Stephen DellaPietra, Luis Álvarez-Gaumé, 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/bf01208963

zbMATH Keywords

\(\eta \) invariant of a Dirac operatorinvertible Weyl operators

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (9)

Parallel transport in the determinant line bundle: The non-zero index case ⋮ Parallel transport in the determinant line bundle: The zero index case ⋮ The evaluation map in field theory, sigma-models and strings. II ⋮ Chiral gauge theories on the lattice with exact gauge invariance ⋮ Chiral determinant as an overlap of two vacua ⋮ CHIRAL LATTICE GAUGE THEORIES VIA MIRROR–FERMION DECOUPLING: A MISSION (IM)POSSIBLE? ⋮ The chiral determinant and the eta invariant ⋮ Abelian chiral gauge theories on the lattice with exact gauge invariance ⋮ Weyl fermions on the lattice and the non-abelian gauge anomaly

Cites Work

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• Vacuum charge and the eta function
• Global gravitational anomalies
• Parallel transport in the determinant line bundle: The non-zero index case
• Parallel transport in the determinant line bundle: The zero index case
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• The chiral determinant and the eta invariant
• On the heat equation and the index theorem
• Dirac operators coupled to vector potentials
• The eta invariant for a class of elliptic boundary value problems
• Spectral asymmetry and Riemannian Geometry. I

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