English

Real embeddings, eta invariant and Chern-Simons current

Differential Geometry 2012-05-15 v1 K-Theory and Homology

Abstract

We present an alternate proof of the Bismut-Zhang localization formula for η\eta-invariants without using the analytic techniques developed by Bismut-Lebeau. A Riemann-Roch property for Chern-Simons currents, which is of independent interest, is established in due course.

Cite

@article{arxiv.0707.4219,
  title  = {Real embeddings, eta invariant and Chern-Simons current},
  author = {Huitao Feng and Guangbo Xu and Weiping Zhang},
  journal= {arXiv preprint arXiv:0707.4219},
  year   = {2012}
}

Comments

20 pages

R2 v1 2026-06-21T09:02:39.111Z