The A-infinity Centre of the Yoneda Algebra and the Characteristic Action of Hochschild Cohomology on the Derived Category

Benjamin Briggs, Vincent Gelinas

For A a dg (or A-infinity) algebra and M a module over A, we study the image of the characteristic morphism ${\chi }_M:H{H}^{\ast }(A,A)\to Ex{t}_A(M,M)$ and its interaction with the higher st…