next | previous | forward | backward | up | top | index | toc | Macaulay2 website
GKMVarieties :: cellOrder(MomentGraph,Poset)

cellOrder(MomentGraph,Poset) -- define a cell order on a moment graph

Synopsis

Description

Defines a Poset $P$ to be a cell order on the MomentGraph $G$. Overwrites if there was one already defined on $G$.

i2 : PP3 = projectiveSpace 3

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

o2 : GKMVariety
i3 : cellOrder PP3
stdio:3:1:(3): error:  no cell order defined on this moment graph
i4 : V = (momentGraph PP3).vertices

o4 = {set {0}, set {1}, set {2}, set {3}}

o4 : List
i5 : P = poset(V, {{V_0,V_1},{V_1,V_2},{V_2,V_3}})

o5 = P

o5 : Poset
i6 : cellOrder(momentGraph PP3, P)
i7 : cellOrder PP3

o7 = P

o7 : Poset

See also