The equivariant noncommutative Atiyah-Patodi-Singer index theorem

DOI10.1007/s10977-006-0024-1zbMath1117.58011arXivmath/0609061OpenAlexW2964115162MaRDI QIDQ865000

Yong Wang

Publication date: 13 February 2007

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609061

zbMATH Keywords

superconnectionFredholm moduleClifford asymptoticsequivariant total area eta invariants

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Equivariant (K)-theory (19L47) Index theory (19K56)

Related Items (4)

Noncommutative geometry and conformal geometry. II: Connes-Chern character and the local equivariant index theorem ⋮ The noncommutative infinitesimal equivariant index formula. II. ⋮ The noncommutative family Atiyah-Patodi-Singer index theorem ⋮ The Noncommutative Infinitesimal Equivariant Index Formula

Cites Work

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• On the Chern character of a theta-summable Fredholm module
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• Equivariant Chern character for the invariant Dirac operator
• Chern character in equivariant entire cyclic cohomology
• Local index theorem for Dirac operator
• A Direct Geometric Proof of the Lefschetz Fixed Point Formulas
• Spectral asymmetry and Riemannian Geometry. I

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