MathDB3 problems
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The loop homology–Hochschild cohomology isomorphism conjecture
Loop homology–Hochschild cohomology conjecture. There is an isomorphism of graded algebras between the loop homology of and the Hochschild cohomology of the singular cochains o…
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The cyclic Deligne conjecture for Hochschild cochains
Let be an associative algebra, and in the cyclic case a cyclic unital associative algebra. Its Hochschild cochain complex has Hochschild cohomology groups carrying a (BV) Gerst…
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Quantum cohomology and Hochschild cohomology of the Fukaya category
Quantum–Hochschild isomorphism conjecture. Under certain conditions, this homomorphism is an isomorphism. The existence of such a homomorphism is described as a folk theorem verifi…