A Spectral Sequence for the Hochschild Cohomology of a Coconnective DGA

• Autores: Shoham Samir
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 112, Nº 2, 2013, págs. 182-215
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • 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.