3 problems

Let $\Lambda$ be a finite-dimensional $\mathbb{k}$-algebra, let $\Lambda_0=\Lambda/\operatorname{rad}(\Lambda)$ be its semisimple quotient, and assume that $\Lambda_0$ is separable…

Let $M$ be a simply-connected manifold, let $C^*(M)$ denote its differential graded algebra of singular cochains, and let $LM$ be its free loop space. Write $H^{>0}(LM)$ for the po…

Let $M$ be a closed simply-connected manifold. The Rabinowitz–Floer homology of the unit cotangent bundle of $M$ carries an algebra structure, while the singular Hochschild cohomol…