On the Determinant and the Holonomy of Equivariant Elliptic Operators

DOI10.2307/2160967zbMath0827.58060OpenAlexW4243026819MaRDI QIDQ4845955

Kenji Tsuboi

Publication date: 29 August 1995

Full work available at URL: https://doi.org/10.2307/2160967

zbMATH Keywords

determinantequivariant elliptic operatorsWitten's holonomy formula

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Determinants and determinant bundles, analytic torsion (58J52)

Cites Work

• Unnamed Item
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• \(\text{Spin}^c\)-structures and \(S^1\)-actions
• A Lefschetz fixed point formula for elliptic complexes. I
• The index of elliptic operators. III
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• The index of elliptic operators. IV, V
• Spectral asymmetry and Riemannian geometry. III

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