Zeta forms and the local family index theorem

DOI10.1090/S0002-9947-06-04321-2zbMath1115.58025arXivmath/0406294MaRDI QIDQ3420386

Simon G. Scott

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406294

zbMATH Keywords

elliptic operatorsindex of elliptic operatorszeta forms

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (2)

\(\eta \) forms and determinant lines ⋮ Renormalised Chern-Weil forms associated with families of Dirac operators

Cites Work

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• Superconnections and the Chern character
• The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems
• Zeta and eta functions for Atiyah-Patodi-Singer operators
• COMPLEX POWERS OF RESOLVENTS OF PSEUDODIFFERENTIAL OPERATORS

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