English

The Geometry of Loop Spaces II: Corrections

Differential Geometry 2024-09-04 v3

Abstract

This paper contains corrections to Madea, Rosenberg, Torres-Ardila, "The Geometry of Loop Spaces II: Characteristic Classes," Advances in Math. (287), 2016, 485-518. The main change is that results about π1(Diff(M))\pi_1({\rm Diff}(M)) are replaced by results about π1(Isom(M))\pi_1({\rm Isom}(M)), where Diff(M)(M), Isom(M)(M) refer to the diffeomorphism and isometry group of the manifold MM.

Keywords

Cite

@article{arxiv.2405.00651,
  title  = {The Geometry of Loop Spaces II: Corrections},
  author = {Yoshiaki Maeda and Steven Rosenberg and Fabián Torres-Ardila},
  journal= {arXiv preprint arXiv:2405.00651},
  year   = {2024}
}
R2 v1 2026-06-28T16:12:58.707Z