Full flag example

The full flag variety Fl(1,2;3) illustrates the untwisted calculation. See Flag varieties and sections for the other computed flag examples.

For the kept-root beta convention and copyable browser/CLI syntax, see How to Use.

Reproduce an entry in the software

The full flag card is A2 with kept roots 1,2 and an empty Bundle K field. Use the Space Info action first; it prints the reduced Schubert words that can be copied into a GW-invariant request.

3-folds

Geometry	Ambient Index	Basis Rank
(a) Fl(1,2,3)	2	6

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(a) Fl(1,2,3)

• Ambient Space: $A2$
• Dimension: \(3\)
• Ambient Index: \(2\)
• Basis Rank: \(6\)
• Eigenvalues: \(- 4 \sqrt{2}\) (mult: 1), \(4 \sqrt{2}\) (mult: 1), \(- 2 i\) (mult: 2), \(2 i\) (mult: 2)

Quantum Matrix (\(y=1\))

\[ \begin{bmatrix}0 & 2 & 2 & 0 & 0 & 4\\2 & 0 & 0 & 2 & 0 & 0\\2 & 0 & 0 & 0 & 2 & 0\\0 & 2 & 4 & 0 & 0 & 2\\0 & 4 & 2 & 0 & 0 & 2\\0 & 0 & 0 & 2 & 2 & 0\end{bmatrix} \]

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