# KClass * KClass -- computes the product of two equivariant K-classes

## Synopsis

• Operator: *
• Usage:
C1 * C2
• Inputs:
• C1, ,
• C2, ,
• Outputs:
• , the product of C1 and C2

## Description

This method computes the product of two equivariant $K$-classes.

 i1 : Gr24 = generalizedFlagVariety("A",3,{2}); --the Grassmannian of projective lines in projective 3-space i2 : O1 = ampleKClass Gr24 -- the O(1) bundle on Gr24 as an equivariant K-class o2 = an equivariant K-class on a GKM variety o2 : KClass i3 : O2 = O1 * O1 o3 = an equivariant K-class on a GKM variety o3 : KClass i4 : peek O2 o4 = KClass{variety => a GKM variety with an action of a 4-dimensional torus} 2 2 KPolynomials => HashTable{{set {0, 1}} => T T } 0 1 2 2 {set {0, 2}} => T T 0 2 2 2 {set {0, 3}} => T T 0 3 2 2 {set {1, 2}} => T T 1 2 2 2 {set {1, 3}} => T T 1 3 2 2 {set {2, 3}} => T T 2 3