For any simple wall-crossing of GIT quotients X_- to X_+, the quantum D-module of X_- is a direct sum of that of X_+ and copies of that of the wall S.
Unfolding of equivariant F-bundles and application to the mirror symmetry of flag varieties
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abstract
We establish an unfolding theorem for equivariant F-bundles (a variant of Frobenius manifolds), generalizing Hertling-Manin's universal unfolding of meromorphic connections. As an application, we obtain the mirror symmetry theorem for the big quantum cohomology of flag varieties, from the recent works on the small quantum cohomology mirror symmetry, via the equivariant unfolding theorem.
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Quantum cohomology of variations of GIT quotients and flips
For any simple wall-crossing of GIT quotients X_- to X_+, the quantum D-module of X_- is a direct sum of that of X_+ and copies of that of the wall S.