English

Kempf-Ness type theorems and Nahm equations

Algebraic Geometry 2019-08-01 v2 Differential Geometry Symplectic Geometry

Abstract

We prove a version of the affine Kempf-Ness theorem for non-algebraic symplectic structures and shifted moment maps, and use it to describe hyperkahler quotients of T*G, where G is a complex reductive group.

Keywords

Cite

@article{arxiv.1809.04518,
  title  = {Kempf-Ness type theorems and Nahm equations},
  author = {Maxence Mayrand},
  journal= {arXiv preprint arXiv:1809.04518},
  year   = {2019}
}

Comments

25 pages. v2: The Kahler potential on T*G was changed to reflect a correction in arXiv:1709.09126

R2 v1 2026-06-23T04:04:07.561Z