Proves that injectivity of the quantum-to-Hochschild map implies split generation by the given Lagrangians and isomorphism of Fukaya (co)homology with quantum cohomology, extending the exact case.
Derived Categories of Toric Fano 3-Folds via the Frobenius Morphism
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abstract
In a work of Costa and Mir\'{o}-Roig state the following conjecture: Every smooth complete toric Fano variety has a full strongly exceptional collection of line bundles. The goal of this article is to prove it for toric Fano 3-folds.
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2026 1verdicts
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Quantum cohomology and split generation in Lagrangian Floer theory
Proves that injectivity of the quantum-to-Hochschild map implies split generation by the given Lagrangians and isomorphism of Fukaya (co)homology with quantum cohomology, extending the exact case.