X = makeGKMVariety(L,R)
X = makeGKMVariety(L,M,R)
X = makeGKMVariety(G)
X = makeGKMVariety(G,R)
X = makeGKMVariety(R)
X = makeGKMVariety(Y,R)
X = makeGKMVariety(C)
The minimum data needed to create a GKMVariety are the set of torus-fixed points and the character ring. Here is an example with projective space
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If necessary, we can add the (negatives of) characters of the action of the torus on each torus-invariant chart of $X$. Note that the i-th entry of the list below corresponds to the i-th entry of L.
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To produce one of the generalized flag varieties we use the method generalizedFlagVariety Here is an example of the Lagrangian Grassmannian $SpGr(2,4)$ consisting of 2-dimensional subspaces in $\mathbb C^4$ that are isotropic with respect to the standard alternating form.
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Here is the complete flag variety of $Sp_4$.
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The following example produces the Orthogonal Grassmannian $SOGr(2,5)$ from its moment graph.
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This function does not check if X is a valid GKM variety.
The object makeGKMVariety is a method function.