Tuesday, May 14, 14:00, 7.527
Zhengfang Wang (MPI Bonn), B-infinity algebra structure on
We first recall the notion of B-infinity algebra, which is in particular an
For instance, the Hochschild cochain complex of an associative algebra (more
generally, an A-infinity algebra) has the structure of a B-infinity algebra.
Following Buchweitz, we define the Tate-Hochschild cohomology of an algebra
as the Yoneda algebra of the identity bimodule in the singularity category
In this talk, we construct a complex, called singular Hochschild cochain
complex, to compute the Tate-Hochschild cohomology.
We prove that there is a B-infinity algebra structure on the singular
Hochschild cochain complex, by giving an explicit action of little 2-discs
operad on this complex.