The noncommutative infinitesimal equivariant index formula (Q2877706)
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scientific article; zbMATH DE number 6334061
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The noncommutative infinitesimal equivariant index formula |
scientific article; zbMATH DE number 6334061 |
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25 August 2014
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infinitesimal equivariant Chern-Connes characters
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infinitesimal equivariant eta cochains
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infinitesimal equivariant family index
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infinitesimal equivariant eta forms
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The noncommutative infinitesimal equivariant index formula (English)
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The author uses \textit{P. Greiner}'s approach [Arch. Ration. Mech. Anal. 41, 163--218 (1971; Zbl 0238.35038)] to heat kernel asymptotics to define and analyze cyclic cochains leading to: infinitesimal equivariant index formulas for closed manifolds of even and odd dimension and for manifolds with boundary; an infinitesimal equivariant family index theorem; and infinitesimal eta forms.
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