A Spectral Sequence for the Hochschild Cohomology of a Coconnective DGA

  • Shoham Shamir

Abstract

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.
Published
2013-06-01
How to Cite
Shamir, S. (2013). A Spectral Sequence for the Hochschild Cohomology of a Coconnective DGA. MATHEMATICA SCANDINAVICA, 112(2), 182-215. https://doi.org/10.7146/math.scand.a-15240
Section
Articles