Equivariant Universal Coefficient and Künneth Spectral Sequences

By L. Lewis, Michael A. Mandell. 2004

51 citations recorded by the source corpus.

This paper constructs hyper‐homology spectral sequences of Z‐graded and ROG‐graded Mackey functors that compute Ext and Tor over G‐equivariant S‐algebras A∞ ring spectra) for finite groups G. These specialize to universal coefficient and Künneth spectral sequences. 2000 Mathematics Subject Classification 55N91 (primary), 55P43, 55U20, 55U25 (secondary).

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ee3a1d99e806dcba0e207bcc677efa5d4acf8346

Citations in the corpus

• Spectral Mackey functors and equivariant algebraic K-theory, II (2015, unknown): “If C is the category of finite G -sets for G a finite group, then our Künneth spectral sequence recovers that of Lewis and Mandell in [15].”