English

Analytical index and eta forms for Dirac operators with one-dimensional kernel over a hypersurface

Differential Geometry 2017-07-27 v4

Abstract

We generalize the transgression formula for the eta form of Bismut, Cheeger and Berline, Getzler, Vergne for vertical Dirac operators on a fibre bundle with odd dimensional fibres where the Dirac operators have locally at most one eigenvalue of multiplicity one crossing zero transversally.

Keywords

Cite

@article{arxiv.1503.02002,
  title  = {Analytical index and eta forms for Dirac operators with one-dimensional kernel over a hypersurface},
  author = {Anja Wittmann},
  journal= {arXiv preprint arXiv:1503.02002},
  year   = {2017}
}

Comments

28 pages

R2 v1 2026-06-22T08:46:12.760Z