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Zbl 0693.58024
Rosenberg, Jonathan; Weinberger, Samuel
Higher G-indices and applications. (English)
[J] Ann. Sci. Éc. Norm. Supér. (4) 21, No. 4, 479-495 (1988). ISSN 0012-9593

Suppose a compact Lie group G acts on a closed, connected, smooth manifold M in such a way that $\pi\sb 1(M)\to \pi\sb 1(M/G)$ splits. For a G-invariant elliptic operator D on M the higher G-index is defined and methods for computing it are derived. Applications when D is the Dirac operator on a spin manifold or the signature operator on an oriented manifold are given.
[J.Marschall]

MSC 2000:: *58J20 Index theory and related fixed point theorems
58J22 Exotic index theories

Keywords: index theory; G-invariant elliptic operator

Cited in: Zbl 0791.58004

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