English

Moment map flow on real reductive Lie groups and GIT estimates

Differential Geometry 2024-06-28 v1 Algebraic Geometry Representation Theory

Abstract

A finite dimensional real vector space carrying an action of a real reductive group possesses a moment map and a stratification as defined by Kirwan and Ness. In this article we investigate the properties of the moment map, the Kirwan-Ness stratification, and Lauret's application from a more functorial, algebraic point of view.

Cite

@article{arxiv.2406.19340,
  title  = {Moment map flow on real reductive Lie groups and GIT estimates},
  author = {Christoph Böhm and Urs Hartl},
  journal= {arXiv preprint arXiv:2406.19340},
  year   = {2024}
}

Comments

21 pages

R2 v1 2026-06-28T17:21:40.950Z