English

The f-invariant and index theory

Algebraic Topology 2009-09-11 v3 Differential Geometry

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.

Keywords

Cite

@article{arxiv.0808.0257,
  title  = {The f-invariant and index theory},
  author = {Ulrich Bunke and Niko Naumann},
  journal= {arXiv preprint arXiv:0808.0257},
  year   = {2009}
}

Comments

New title, completely rewritten introduction

R2 v1 2026-06-21T11:07:00.570Z