English

On the $RO(Q)$-graded coefficients of Eilenberg-MacLane spectra

Algebraic Topology 2022-07-12 v2

Abstract

Let QQ denote the cyclic group of order two. Using the Tate diagram we compute the RO(Q)RO(Q)-graded coefficients of Eilenberg-MacLane QQ-spectra and describe their structure as a module over the coefficients of the Eilenberg-MacLane spectrum of the Burnside Mackey functor. If the underlying Mackey functor is a Green functor, we also infer the multiplicative structure on the RO(Q)RO(Q)-graded coefficients.

Keywords

Cite

@article{arxiv.2105.09768,
  title  = {On the $RO(Q)$-graded coefficients of Eilenberg-MacLane spectra},
  author = {Igor Sikora},
  journal= {arXiv preprint arXiv:2105.09768},
  year   = {2022}
}

Comments

31 pages, 9 figures