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arXiv · 1011.0600

A spectral sequence for the Hochschild cohomology of a coconnective dga

Shoham Shamir
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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 constructed by Cohen, Jones and Yan 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.

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Shoham Shamir. 2010-11-02. A spectral sequence for the Hochschild cohomology of a coconnective dga. https://arxiv.org/abs/1011.0600

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