English

Additive higher rho invariant for structure group in differential point of view

Differential Geometry 2019-08-02 v4 Functional Analysis

Abstract

In this paper, we adapt part of Weinberger, Xie and Yu's breakthrough work, to define additive higher rho invariant for topological structure group by differential geometric version of signature operators, or in other words, unbounded Hilbert-Poincar\'{e} complexes.

Keywords

Cite

@article{arxiv.1804.09026,
  title  = {Additive higher rho invariant for structure group in differential point of view},
  author = {Baojie Jiang and Hongzhi Liu},
  journal= {arXiv preprint arXiv:1804.09026},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1302.4418, arXiv:1608.03661 by other authors