English

The order of curvature operators on loop groups

Differential Geometry 2015-05-14 v1

Abstract

For loop groups (free and based), we compute the exact order of the curvature operator of the Levi-Civita connection depending on a Sobolev space parameter. This extends results of Freed and Maeda-Rosenberg-Torres.

Cite

@article{arxiv.0909.4466,
  title  = {The order of curvature operators on loop groups},
  author = {Andres Larrain-Hubach},
  journal= {arXiv preprint arXiv:0909.4466},
  year   = {2015}
}

Comments

to appear in Letters in Mathematical Physics

R2 v1 2026-06-21T13:50:05.556Z