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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Bunke, U., Naumann, N. The f-invariant and index theory. manuscripta math. 132, 365–397 (2010). https://doi.org/10.1007/s00229-010-0351-7
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DOI: https://doi.org/10.1007/s00229-010-0351-7