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arXiv · 0808.0257

The f-invariant and index theory

Ulrich Bunke·Niko Naumann
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Abstract

In this paper we prove a tertiary index theorem which relates a spectral geometric and a homotopy theoretic invariant of an almost complex manifold with framed boundary. It is derived from the index theoretic and homotopy theoretic versions of a complex elliptic genus and interestingly related with the structure of the stable homotopy groups of spheres.

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Ulrich Bunke, Niko Naumann. 2009-09-11. The f-invariant and index theory. https://arxiv.org/abs/0808.0257

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