MathDB3 problems
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Generalization of the Fourier transform to dual completely integrable systems
Generalization conjecture. The construction should generalize to other dual completely integrable systems.
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Open-string Chern–Simons mirror conjecture for A-cycles and B-cycles
An A-cycle is a special Lagrangian cycle in a Calabi–Yau manifold , while its Fourier–Mukai transform is a B-cycle in the mirror Calabi–Yau ; sections or multi-sections a…
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The Fourier-kernel conjecture for topological Poisson–Lie duality with spectators
Let Poisson–Lie duality be described by the QP-manifold and symplectic-reduction framework, and let spectators be additional target-space fields not included in the dualised Poisso…