  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.
