English

An analytical formula for the f-invariant of circle transfers

Differential Geometry 2014-12-19 v1 Algebraic Topology

Abstract

In this note, we explain how the f-invariant of a circle transfer can be computed on the framed manifold itself in terms of the spectral asymmetry of twisted Dirac operators on the base. Some explicit examples and a treatment of the quaternionic case are provided as well.

Keywords

Cite

@article{arxiv.1412.5886,
  title  = {An analytical formula for the f-invariant of circle transfers},
  author = {Hanno von Bodecker},
  journal= {arXiv preprint arXiv:1412.5886},
  year   = {2014}
}

Comments

19 pages