A GKM variety is a variety $X$, often assumed to be smooth and complete, with an action of an algebraic torus $T$ satisfying the following conditions: (i) $X$ is equivariantly formal with respect to the the action of $T$, (ii) $X$ has finitely many $T$-fixed points, and (iii) $X$ has finitely many one-dimensional $T$-orbits. The data of the zero and one dimensional $T$-orbits of $X$ define the moment graph of $X$, with which one can carry out $T$-equivariant cohomology and $T$-equivariant $K$-theory computations via the method of localization. This package provides methods for these computations in Macaulay2.
For mathematical background see:
The following people have contributed code, improved existing code, or enhanced the documentation: Tim Seynnaeve.
This documentation describes version 0.1 of GKMVarieties.
The source code from which this documentation is derived is in the file GKMVarieties.m2. The auxiliary files accompanying it are in the directory GKMVarieties/.
The object GKMVarieties is a package.