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math.ATOct 6, 2004
31
citations (OpenAlex)
authors
  • L. Gaunce Lewis
  • Michael A. Mandell
institutions
  • Syracuse University
  • University of Cambridge
arXiv abstractPDF
paper

Equivariant Universal Coefficient and Kunneth Spectral Sequences

arXiv:math/0410162 · doi:10.1112/S0024611505015492

Abstract

We construct hyper-homology spectral sequences of Z-graded and ROG-graded Mackey functors for Ext and Tor over G-equivariant S-algebras (A-infty ring spectra) for finite groups G. These specialize to universal coefficient and Kunneth spectral sequences.

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  • The R(S^1)-graded equivariant homotopy of THH(F_p)
  • On the structure of the RO(G)-graded homotopy of HM​ for cyclic p-groups
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