The f-invariant and index theory

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.

arXiv commentNew title, completely rewritten introduction

References in corpus (1)

• Determinant bundles, boundaries, and surgery

Cited by in corpus (3)

• beta-family congruences and the f-invariant
• On the f-invariant of products
• Twisted Dirac operators on certain nilmanifolds associated to even lattices