English

The Torus-Equivariant Cohomology of Nilpotent Orbits

Algebraic Geometry 2015-12-29 v2 Representation Theory Symplectic Geometry

Abstract

We consider aspects of the geometry and topology of nilpotent orbits in finite-dimensional complex simple Lie algebras. In particular, we give the equivariant cohomologies of the regular and minimal nilpotent orbits with respect to the action of a maximal compact torus of the overall group in question.

Keywords

Cite

@article{arxiv.1310.4520,
  title  = {The Torus-Equivariant Cohomology of Nilpotent Orbits},
  author = {Peter Crooks},
  journal= {arXiv preprint arXiv:1310.4520},
  year   = {2015}
}

Comments

17 pages. Comments are most welcome. Version 2: A few minor changes were made