GKM variety

In algebraic geometry, a GKM variety is a complex algebraic variety equipped with a torus action that meets certain conditions.: Def. 1.4.13  The concept was introduced by Mark Goresky, Robert Kottwitz, and Robert MacPherson in 1998. The torus action of a GKM variety must be skeletal: both the set of fixed points of the action, and the number of one-dimensional orbits of the action, must be finite. In addition, the action must be equivariantly formal, a condition that can be phrased in terms of the torus' rational cohomology.: Def. 1.4.1 

See also

References

  1. 1 2 Gonzales, Richard Paul (2011). GKM theory of rationally smooth group embeddings (PhD). University of Western Ontario.
  2. ↑ Goresky, Mark; Kottwitz, Robert; MacPherson, Robert (1998). "Equivariant cohomology, Koszul duality, and the localization theorem" (PDF). Inventiones Mathematicae. 131: 25–83. doi:10.1007/s002220050197.