If a GKM variety $X$ also admits a structure of a NormalToricVariety, then the following example shows how to obtain the KClass of any ToricDivisor on $X$.
i1 : X = toricProjectiveSpace 3; |
i2 : D = toricDivisor({1,0,0,0},X) -- the class of O(1) on P^3
o2 = X
0
o2 : ToricDivisor on X
|
i3 : Y = makeGKMVariety X; -- The torus is C^3 not C^4 |
i4 : C = makeKClass(Y,D) o4 = an equivariant K-class on a GKM variety o4 : KClass |
i5 : assert(isWellDefined C) |
i6 : peek C
o6 = KClass{variety => a GKM variety with an action of a 3-dimensional torus}
-1
KPolynomials => HashTable{{0, 1, 2} => T }
2
-1
{0, 1, 3} => T
1
-1
{0, 2, 3} => T
0
{1, 2, 3} => 1
|
Toric vector bundles are yet to be imported.