Formal formality of the hypercommutative algebras of low dimensional   Calabi-Yau varieties
  There is a homotopy hypercommutative algebra structure on the cohomology of a Calabi-Yau variety. The truncation of this homotopy hypercommutative algebra to a strict hypercommutative algebra is well-known as a mathematical realization of the genus zero B-model. It is shown that this truncation loses no information for some cases, including all Calabi-Yau 3-folds. 
Gabriel C. Drummond-Cole
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