On the Adams spectral sequence for R–modules
By Andrew Baker, A. Lazarev. 2001
64 citations recorded by the source corpus.
We discuss the Adams Spectral Sequence for R-modules based on commutative localized regular quotient ring spectra over a commutative S -algebra R in the sense of Elmendorf, Kriz, Mandell, May and Strickland. The formulation of this spectral sequence is similar to the classical case and the calculation of its E2 -term involves the cohomology of certain 'brave new Hopf algebroids' E R E. In working out the details we resurrect Adams' original approach to Universal Coecient Spectral Sequences for modules over an R ring spectrum. We show that the Adams Spectral Sequence for SR based on a commutative localized regular quotient R ring spectrum E = R=I(X 1 ) converges to the
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/2f5dba6fb6204213c0a8404591d59ba550b57e6c
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Topological Hochschild homology and cohomology of A∞ ring spectra (2006, methodology): “Here we present a different proof: There is a multiplicative Künneth spectral sequence (see Baker and Lazarev [7]) E ; D Tor R ; .”