Formal formality of the hypercommutative algebras of low dimensional Calabi-Yau varieties

Physics – Mathematical Physics

Scientific paper

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8 pages

Scientific paper

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.

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