Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
Publication
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
In this article we prove that the Tamarkin–Tsygan calculus of an Adams connected augmented dg algebra and of its Koszul dual are dual to each other. This uses the fact that the Hochschild cohomology and homology may be regarded as a twisted convolution dg algebra and as a twisted tensor product, respectively. As an immediate application of this latter point of view we also show that the cup product on Hochschild cohomology and the cap product on Hochschild homology of a Koszul algebra is directly computed from the coalgebra structure of Tor∙A(k,k) (the first of these results is proved differently in [2]).