Higher-order Hochschild cohomology over any d-sphere and tertiary Hochschild cohomology control the associativity of deformed algebra products.
$G$-Algebra Structure on the Higher Order Hochschild Cohomology $H^*_{S^2}(A,A)$
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abstract
We present a deformation theory associated to the higher Hochschild cohomology $H_{S^2}^*(A,A)$. We also study a $G$-algebra structure associated to this deformation theory.
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Deformation Theories Controlled by Hochschild Cohomologies
Higher-order Hochschild cohomology over any d-sphere and tertiary Hochschild cohomology control the associativity of deformed algebra products.