Spectral sequences of operad algebras

Abstract

We identify conditions under which it is guaranteed that an action of an operad on the $E^2$ page of a spectral sequence passes to $E^r$ for $r\ge 2$ and hence to the $E^{\infty }$ page. We consider this question in both the purely algebraic and topological settings.

30 pages, submitted to Homology, Homotopy and Applications

References in corpus (2)

• Koszul duality of operads and homology of partition posets
• Multiplicative structures on homotopy spectral sequences II