An extended variational formula for the Bismut-Cheeger eta form and its applications

arXiv2209.00502MaRDI QIDQ6120523

Man-Ho Ho

Publication date: 21 February 2024

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.00502

zbMATH Keywords

differential \(K\)-theoryanalytic indexRiemann-Roch-Grothendieck theoremBismut-Cheeger eta form

Mathematics Subject Classification ID

Index theory (19K56) Riemann-Roch theorems, Chern characters (19L10) Twisted (K)-theory; differential (K)-theory (19L50)

Cites Work

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• Functoriality of equivariant eta forms
• \(K\)-theory. An introduction. With a new postface by the author and a list of errata
• The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
• Equivariant eta forms and equivariant differential \(K\)-theory
• Holomorphic Morse inequalities and Bergman kernels
• Smooth K-Theory
• η-Invariants and Their Adiabatic Limits
• Adiabatic Limits, Nonmultiplicativity of Signature, and Leray Spectral Sequence
• Bismut–Cheeger Eta Form and Higher Spectral Flow

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