@article{Shamir_2013, title={A Spectral Sequence for the Hochschild Cohomology of a Coconnective DGA}, volume={112}, url={https://www.mscand.dk/article/view/15240}, DOI={10.7146/math.scand.a-15240}, abstractNote={A spectral sequence for the computation of the Hochschild cohomology of a coconnective dga over a field is presented. This spectral sequence has a similar flavour to the spectral sequence presented in [7] for the computation of the loop homology of a closed orientable manifold. Using this spectral sequence we identify a class of spaces for which the Hochschild cohomology of their mod-$p$ cochain algebra is Noetherian. This implies, among other things, that for such a space the derived category of mod-$p$ chains on its loop-space carries a theory of support varieties.}, number={2}, journal={MATHEMATICA SCANDINAVICA}, author={Shamir, Shoham}, year={2013}, month={Jun.}, pages={182–215} }