pullback(EquivariantMap) -- computes the pullback map of equivariant K-classes of an equivariant map

Function: pullback
Usage:

pullback(f)
Inputs:
- f, an equivariant map,
Outputs:
- a function closure, whose input is a KClass on the target GKMVariety of f and output is its pullback along f

Description

Given two GKM varieties $X$ and $Y$, this method computes the pullback of a KClass on $Y$ along an equivariant morphism $X \to Y$.

i1 : R = makeCharacterRing 4;

i2 : FlGr = generalizedFlagVariety("A",3,{1,2},R)

o2 = a "GKM variety" with an action of a 4-dimensional torus

o2 : GKMVariety

i3 : Gr24 = generalizedFlagVariety("A",3,{2},R)

o3 = a "GKM variety" with an action of a 4-dimensional torus

o3 : GKMVariety

i4 : f = flagMap(FlGr,Gr24)

o4 = an "equivariant map" of GKM varieties 

o4 : EquivariantMap

i5 : O1 = ampleKClass Gr24

o5 = an "equivariant K-class" on a GKM variety 

o5 : KClass

i6 : (pullback f)(O1)

o6 = an "equivariant K-class" on a GKM variety 

o6 : KClass

Ways to use this method:

pullback(EquivariantMap) -- computes the pullback map of equivariant K-classes of an equivariant map

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/GKMVarieties/Documentation_GKMVarieties.m2:1043:0.

pullback(EquivariantMap) -- computes the pullback map of equivariant K-classes of an equivariant map

Description

See also

Ways to use this method: