# trivialKClass -- the equivariant K-class of the structure sheaf

## Synopsis

• Usage:
trivialKClass X
• Inputs:
• X, ,
• Outputs:

## Description

Given a GKM variety $X$ this function computes the KClass of the structure sheaf $O_X$. In terms of the localization map, $O_X$ corresponds to the constant function $1$.

 i1 : X = projectiveSpace 3; i2 : C = trivialKClass X; i3 : peek C o3 = KClass{KPolynomials => HashTable{set {0} => 1} } set {1} => 1 set {2} => 1 set {3} => 1 variety => a GKM variety with an action of a 4-dimensional torus

## Ways to use trivialKClass :

• "trivialKClass(GKMVariety)"

## For the programmer

The object trivialKClass is .