English

Four approaches to cohomology theories with reality

Algebraic Topology 2017-10-24 v3

Abstract

We give an account of well known calculations of the RO(Q)-graded coefficient rings of some of the most basic Q-equivariant cohomology theories, where Q is a group of order 2. One purpose is to advertise the effectiveness of the Tate square, showing it has advantages over the slice spectral sequences in algebraically simple cases. A second purpose is to give a single account showing how to translate between the languages of different approaches. [v2 corrects some typos and adds some thanks and references, v3 corrects a few more typos].

Keywords

Cite

@article{arxiv.1705.09365,
  title  = {Four approaches to cohomology theories with reality},
  author = {J. P. C. Greenlees},
  journal= {arXiv preprint arXiv:1705.09365},
  year   = {2017}
}