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The Classification Conjecture for contraction algebras of smooth threefold flops
The Classification Conjecture. The complete local cDV singularities are isomorphic if and only if their contraction algebras have equivalent bounded derived categories:
Conjectureopencdv-singularities contraction-algebras flopsarXiv posted 2 days ago

The Classification Conjecture for contraction algebras of smooth threefold flops