4 problems
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Kontsevich's diagonal brane endomorphism conjecture
Let be a Calabi–Yau manifold. Write for a second copy of with the symplectic structure reversed, and let the diagonal brane be the diagonal submanifold…
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Kontsevich's diagonal brane conjecture for A-branes
Let be a Calabi–Yau manifold, and consider its category of A-branes, namely the derived category of the Fukaya category. The diagonal brane is the diagonal submanifold…
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Equivariant Poisson Sigma Model conjecture for reduced symplectic manifolds
Equivariant reduction conjecture. The theory computes the -model correlator of the reduced symplectic manifold .
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Twisted type IIA superstring theory as a mixed A/B-model
Let carry the product geometry, and consider the -invariant twist of type IIA superstring theory. Type IIA string twist conjecture. The twis…