Universal operations in Hochschild homology
Universal operations in Hochschild homology
Abstract We provide a general method for finding all natural operations on the Hochschild complex of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mi>ℰ</m:mi></m:math> ${\mathcal{E}}$ -algebras, where <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mi>ℰ</m:mi></m:math> ${\mathcal{E}}$ is any algebraic structure encoded in a prop with multiplication, as for example the prop of Frobenius, commutative or <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msub><m:mi>A</m:mi><m:mi>∞</m:mi></m:msub></m:math> ${A_{\infty}}$ -algebras. We show that …